(y-7)(8y-9)=0

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Solution for (y-7)(8y-9)=0 equation: 


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

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

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

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

Combine like terms: -56y + -9y = -65y
(63 + -65y + 8y2) = 0

Solving
63 + -65y + 8y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(9 + -8y)(7 + -1y) = 0


Subproblem 1
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

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 = {1.125, 7}

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