-2(3y-4)(3y-4)=

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Solution for -2(3y-4)(3y-4)= equation: 


Simplifying
-2(3y + -4)(3y + -4) = 0

Reorder the terms:
-2(-4 + 3y)(3y + -4) = 0

Reorder the terms:
-2(-4 + 3y)(-4 + 3y) = 0

Multiply (-4 + 3y) * (-4 + 3y)
-2(-4(-4 + 3y) + 3y * (-4 + 3y)) = 0
-2((-4 * -4 + 3y * -4) + 3y * (-4 + 3y)) = 0
-2((16 + -12y) + 3y * (-4 + 3y)) = 0
-2(16 + -12y + (-4 * 3y + 3y * 3y)) = 0
-2(16 + -12y + (-12y + 9y2)) = 0

Combine like terms: -12y + -12y = -24y
-2(16 + -24y + 9y2) = 0
(16 * -2 + -24y * -2 + 9y2 * -2) = 0
(-32 + 48y + -18y2) = 0

Solving
-32 + 48y + -18y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-16 + 24y + -9y2) = 0

Factor a trinomial.
2((-4 + 3y)(4 + -3y)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-4 + 3y)' equal to zero and attempt to solve:

Simplifying
-4 + 3y = 0

Solving
-4 + 3y = 0

Move all terms containing y to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 4 + 3y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 3y = 0 + 4
3y = 0 + 4

Combine like terms: 0 + 4 = 4
3y = 4

Divide each side by '3'.
y = 1.333333333

Simplifying
y = 1.333333333

Subproblem 2
Set the factor '(4 + -3y)' equal to zero and attempt to solve:

Simplifying
4 + -3y = 0

Solving
4 + -3y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -3y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3y = 0 + -4
-3y = 0 + -4

Combine like terms: 0 + -4 = -4
-3y = -4

Divide each side by '-3'.
y = 1.333333333

Simplifying
y = 1.333333333
Solution
y = {1.333333333, 1.333333333}

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