2(y-9)(-y+7)=0

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Solution for 2(y-9)(-y+7)=0 equation: 


Simplifying
2(y + -9)(-1y + 7) = 0

Reorder the terms:
2(-9 + y)(-1y + 7) = 0

Reorder the terms:
2(-9 + y)(7 + -1y) = 0

Multiply (-9 + y) * (7 + -1y)
2(-9(7 + -1y) + y(7 + -1y)) = 0
2((7 * -9 + -1y * -9) + y(7 + -1y)) = 0
2((-63 + 9y) + y(7 + -1y)) = 0
2(-63 + 9y + (7 * y + -1y * y)) = 0
2(-63 + 9y + (7y + -1y2)) = 0

Combine like terms: 9y + 7y = 16y
2(-63 + 16y + -1y2) = 0
(-63 * 2 + 16y * 2 + -1y2 * 2) = 0
(-126 + 32y + -2y2) = 0

Solving
-126 + 32y + -2y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-63 + 16y + -1y2) = 0

Factor a trinomial.
2((-9 + y)(7 + -1y)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-9 + y)' equal to zero and attempt to solve:

Simplifying
-9 + y = 0

Solving
-9 + y = 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 + y = 0 + 9

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

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

Simplifying
y = 9

Subproblem 2
Set the factor '(7 + -1y)' equal to zero and attempt to solve:

Simplifying
7 + -1y = 0

Solving
7 + -1y = 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 + -1y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1y = 0 + -7
-1y = 0 + -7

Combine like terms: 0 + -7 = -7
-1y = -7

Divide each side by '-1'.
y = 7

Simplifying
y = 7
Solution
y = {9, 7}

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