(9y-7)(-6y-7)=0

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Solution for (9y-7)(-6y-7)=0 equation:


Simplifying
(9y + -7)(-6y + -7) = 0

Reorder the terms:
(-7 + 9y)(-6y + -7) = 0

Reorder the terms:
(-7 + 9y)(-7 + -6y) = 0

Multiply (-7 + 9y) * (-7 + -6y)
(-7(-7 + -6y) + 9y * (-7 + -6y)) = 0
((-7 * -7 + -6y * -7) + 9y * (-7 + -6y)) = 0
((49 + 42y) + 9y * (-7 + -6y)) = 0
(49 + 42y + (-7 * 9y + -6y * 9y)) = 0
(49 + 42y + (-63y + -54y2)) = 0

Combine like terms: 42y + -63y = -21y
(49 + -21y + -54y2) = 0

Solving
49 + -21y + -54y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(7 + -9y)(7 + 6y) = 0

Subproblem 1

Set the factor '(7 + -9y)' equal to zero and attempt to solve: Simplifying 7 + -9y = 0 Solving 7 + -9y = 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 + -9y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9y = 0 + -7 -9y = 0 + -7 Combine like terms: 0 + -7 = -7 -9y = -7 Divide each side by '-9'. y = 0.7777777778 Simplifying y = 0.7777777778

Subproblem 2

Set the factor '(7 + 6y)' equal to zero and attempt to solve: Simplifying 7 + 6y = 0 Solving 7 + 6y = 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 + 6y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6y = 0 + -7 6y = 0 + -7 Combine like terms: 0 + -7 = -7 6y = -7 Divide each side by '6'. y = -1.166666667 Simplifying y = -1.166666667

Solution

y = {0.7777777778, -1.166666667}

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