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Simplifying (8y + -7)(2y + 7) = 0 Reorder the terms: (-7 + 8y)(2y + 7) = 0 Reorder the terms: (-7 + 8y)(7 + 2y) = 0 Multiply (-7 + 8y) * (7 + 2y) (-7(7 + 2y) + 8y * (7 + 2y)) = 0 ((7 * -7 + 2y * -7) + 8y * (7 + 2y)) = 0 ((-49 + -14y) + 8y * (7 + 2y)) = 0 (-49 + -14y + (7 * 8y + 2y * 8y)) = 0 (-49 + -14y + (56y + 16y2)) = 0 Combine like terms: -14y + 56y = 42y (-49 + 42y + 16y2) = 0 Solving -49 + 42y + 16y2 = 0 Solving for variable 'y'. Factor a trinomial. (-7 + -2y)(7 + -8y) = 0Subproblem 1
Set the factor '(-7 + -2y)' equal to zero and attempt to solve: Simplifying -7 + -2y = 0 Solving -7 + -2y = 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 + -2y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2y = 0 + 7 -2y = 0 + 7 Combine like terms: 0 + 7 = 7 -2y = 7 Divide each side by '-2'. y = -3.5 Simplifying y = -3.5Subproblem 2
Set the factor '(7 + -8y)' equal to zero and attempt to solve: Simplifying 7 + -8y = 0 Solving 7 + -8y = 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 + -8y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8y = 0 + -7 -8y = 0 + -7 Combine like terms: 0 + -7 = -7 -8y = -7 Divide each side by '-8'. y = 0.875 Simplifying y = 0.875Solution
y = {-3.5, 0.875}
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