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

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


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

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

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

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

Combine like terms: -54y + -7y = -61y
(42 + -61y + 9y2) = 0

Solving
42 + -61y + 9y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(7 + -9y)(6 + -1y) = 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 '(6 + -1y)' equal to zero and attempt to solve: Simplifying 6 + -1y = 0 Solving 6 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1y = 0 + -6 -1y = 0 + -6 Combine like terms: 0 + -6 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6

Solution

y = {0.7777777778, 6}

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