Solve for t 0.5=(6t)/(t^2+4)

Math
Rewrite the equation as .
Solve for .
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Multiply each term by and simplify.
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Multiply each term in by .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Simplify .
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Apply the distributive property.
Multiply by .
Subtract from both sides of the equation.
Move to the left side of the equation by subtracting it from both sides.
Factor the left side of the equation.
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Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Reorder terms.
Replace the left side with the factored expression.
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
Divide by .
Factor out of .
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Factor out of .
Factor out of .
Rewrite as .
Factor out of .
Factor out of .
Multiply each term in by
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Multiply each term in by .
Simplify .
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Apply the distributive property.
Simplify.
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Multiply by .
Multiply by .
Apply the distributive property.
Simplify.
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Multiply .
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Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Use the quadratic formula to find the solutions.
Substitute the values , , and into the quadratic formula and solve for .
Simplify.
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Simplify the numerator.
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Raise to the power of .
Multiply by .
Multiply by .
Subtract from .
Rewrite as .
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Factor out of .
Rewrite as .
Pull terms out from under the radical.
Multiply by .
Simplify .
The final answer is the combination of both solutions.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Solve for t 0.5=(6t)/(t^2+4)

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