4(8y-9)(8y+7)=

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Solution for 4(8y-9)(8y+7)= equation: 


Simplifying
4(8y + -9)(8y + 7) = 0

Reorder the terms:
4(-9 + 8y)(8y + 7) = 0

Reorder the terms:
4(-9 + 8y)(7 + 8y) = 0

Multiply (-9 + 8y) * (7 + 8y)
4(-9(7 + 8y) + 8y * (7 + 8y)) = 0
4((7 * -9 + 8y * -9) + 8y * (7 + 8y)) = 0
4((-63 + -72y) + 8y * (7 + 8y)) = 0
4(-63 + -72y + (7 * 8y + 8y * 8y)) = 0
4(-63 + -72y + (56y + 64y2)) = 0

Combine like terms: -72y + 56y = -16y
4(-63 + -16y + 64y2) = 0
(-63 * 4 + -16y * 4 + 64y2 * 4) = 0
(-252 + -64y + 256y2) = 0

Solving
-252 + -64y + 256y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-63 + -16y + 64y2) = 0

Factor a trinomial.
4((-7 + -8y)(9 + -8y)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-7 + -8y)' equal to zero and attempt to solve:

Simplifying
-7 + -8y = 0

Solving
-7 + -8y = 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 + -8y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -8y = 0 + 7
-8y = 0 + 7

Combine like terms: 0 + 7 = 7
-8y = 7

Divide each side by '-8'.
y = -0.875

Simplifying
y = -0.875

Subproblem 2
Set the factor '(9 + -8y)' equal to zero and attempt to solve:

Simplifying
9 + -8y = 0

Solving
9 + -8y = 0

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

Add '-9' to each side of the equation.
9 + -9 + -8y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -8y = 0 + -9
-8y = 0 + -9

Combine like terms: 0 + -9 = -9
-8y = -9

Divide each side by '-8'.
y = 1.125

Simplifying
y = 1.125
Solution
y = {-0.875, 1.125}

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