Solve for a 3*a*b*a=b*a*a

Math
3⋅a⋅b⋅a=b⋅a⋅a
Multiply a by a by adding the exponents.
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Move a.
3⋅(a⋅a)⋅b=b⋅a⋅a
Multiply a by a.
3⋅a2⋅b=b⋅a⋅a
3a2b=b⋅a⋅a
Multiply a by a by adding the exponents.
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Move a.
3a2b=b⋅(a⋅a)
Multiply a by a.
3a2b=b⋅a2
3a2b=ba2
Move all terms containing a to the left side of the equation.
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Subtract ba2 from both sides of the equation.
3a2b-ba2=0
Subtract ba2 from 3a2b.
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Move b.
3a2b-1a2b=0
Subtract a2b from 3a2b.
2a2b=0
2a2b=0
2a2b=0
Divide each term by 2b and simplify.
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Divide each term in 2a2b=0 by 2b.
2a2b2b=02b
Simplify 2a2b2b.
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Cancel the common factor of 2.
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Cancel the common factor.
2a2b2b=02b
Rewrite the expression.
a2bb=02b
a2bb=02b
Cancel the common factor of b.
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Cancel the common factor.
a2bb=02b
Divide a2 by 1.
a2=02b
a2=02b
a2=02b
Simplify 02b.
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Cancel the common factor of 0 and 2.
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Factor 2 out of 0.
a2=2(0)2b
Cancel the common factors.
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Factor 2 out of 2b.
a2=2(0)2(b)
Cancel the common factor.
a2=2⋅02b
Rewrite the expression.
a2=0b
a2=0b
a2=0b
Divide 0 by b.
a2=0
a2=0
a2=0
Take the square root of both sides of the equation to eliminate the exponent on the left side.
a=±0
The complete solution is the result of both the positive and negative portions of the solution.
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Simplify the right side of the equation.
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Rewrite 0 as 02.
a=±02
Pull terms out from under the radical, assuming positive real numbers.
a=±0
a=±0
±0 is equal to 0.
a=0
a=0
Solve for a 3*a*b*a=b*a*a

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