# Solve for z y=-1/2z^2

y=-12z2
Rewrite the equation as -12z2=y.
-12z2=y
Multiply both sides of the equation by -2.
-2⋅(-12)⋅z2=-2⋅y
Simplify -2⋅(-12)⋅z2.
Cancel the common factor of 2.
Move the leading negative in -12 into the numerator.
-2⋅-12⋅z2=-2⋅y
Factor 2 out of -2.
2(-1)⋅-12⋅z2=-2⋅y
Cancel the common factor.
2⋅-1⋅-12⋅z2=-2⋅y
Rewrite the expression.
-1⋅-1⋅z2=-2⋅y
-1⋅-1⋅z2=-2⋅y
Multiply.
Multiply -1 by -1.
1⋅z2=-2⋅y
Multiply z2 by 1.
z2=-2⋅y
z2=-2⋅y
z2=-2y
Take the square root of both sides of the equation to eliminate the exponent on the left side.
z=±-2y
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the ± to find the first solution.
z=-2y
Next, use the negative value of the ± to find the second solution.
z=–2y
The complete solution is the result of both the positive and negative portions of the solution.
z=-2y
z=–2y
z=-2y
z=–2y
Solve for z y=-1/2z^2

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