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

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


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

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

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

Multiply (2 + 9y) * (9 + 7y)
(2(9 + 7y) + 9y * (9 + 7y)) = 0
((9 * 2 + 7y * 2) + 9y * (9 + 7y)) = 0
((18 + 14y) + 9y * (9 + 7y)) = 0
(18 + 14y + (9 * 9y + 7y * 9y)) = 0
(18 + 14y + (81y + 63y2)) = 0

Combine like terms: 14y + 81y = 95y
(18 + 95y + 63y2) = 0

Solving
18 + 95y + 63y2 = 0

Solving for variable 'y'.

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

Subproblem 1

Set the factor '(9 + 7y)' equal to zero and attempt to solve: Simplifying 9 + 7y = 0 Solving 9 + 7y = 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 + 7y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7y = 0 + -9 7y = 0 + -9 Combine like terms: 0 + -9 = -9 7y = -9 Divide each side by '7'. y = -1.285714286 Simplifying y = -1.285714286

Subproblem 2

Set the factor '(2 + 9y)' equal to zero and attempt to solve: Simplifying 2 + 9y = 0 Solving 2 + 9y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 9y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9y = 0 + -2 9y = 0 + -2 Combine like terms: 0 + -2 = -2 9y = -2 Divide each side by '9'. y = -0.2222222222 Simplifying y = -0.2222222222

Solution

y = {-1.285714286, -0.2222222222}

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