-4(3y-9)3(2y+7)=

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Solution for -4(3y-9)3(2y+7)= equation: 


Simplifying
-4(3y + -9) * 3(2y + 7) = 0

Reorder the terms:
-4(-9 + 3y) * 3(2y + 7) = 0

Reorder the terms:
-4(-9 + 3y) * 3(7 + 2y) = 0

Reorder the terms for easier multiplication:
-4 * 3(-9 + 3y)(7 + 2y) = 0

Multiply -4 * 3
-12(-9 + 3y)(7 + 2y) = 0

Multiply (-9 + 3y) * (7 + 2y)
-12(-9(7 + 2y) + 3y * (7 + 2y)) = 0
-12((7 * -9 + 2y * -9) + 3y * (7 + 2y)) = 0
-12((-63 + -18y) + 3y * (7 + 2y)) = 0
-12(-63 + -18y + (7 * 3y + 2y * 3y)) = 0
-12(-63 + -18y + (21y + 6y2)) = 0

Combine like terms: -18y + 21y = 3y
-12(-63 + 3y + 6y2) = 0
(-63 * -12 + 3y * -12 + 6y2 * -12) = 0
(756 + -36y + -72y2) = 0

Solving
756 + -36y + -72y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '36'.
36(21 + -1y + -2y2) = 0

Factor a trinomial.
36((3 + -1y)(7 + 2y)) = 0

Ignore the factor 36.

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

Simplifying
3 + -1y = 0

Solving
3 + -1y = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = 0 + -3
-1y = 0 + -3

Combine like terms: 0 + -3 = -3
-1y = -3

Divide each side by '-1'.
y = 3

Simplifying
y = 3

Subproblem 2
Set the factor '(7 + 2y)' equal to zero and attempt to solve:

Simplifying
7 + 2y = 0

Solving
7 + 2y = 0

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

Add '-7' to each side of the equation.
7 + -7 + 2y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2y = 0 + -7
2y = 0 + -7

Combine like terms: 0 + -7 = -7
2y = -7

Divide each side by '2'.
y = -3.5

Simplifying
y = -3.5
Solution
y = {3, -3.5}

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