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Simplifying -2(3y2 + y) + 5y2 + -7(y + 2) = 0 Reorder the terms: -2(y + 3y2) + 5y2 + -7(y + 2) = 0 (y * -2 + 3y2 * -2) + 5y2 + -7(y + 2) = 0 (-2y + -6y2) + 5y2 + -7(y + 2) = 0 Reorder the terms: -2y + -6y2 + 5y2 + -7(2 + y) = 0 -2y + -6y2 + 5y2 + (2 * -7 + y * -7) = 0 -2y + -6y2 + 5y2 + (-14 + -7y) = 0 Reorder the terms: -14 + -2y + -7y + -6y2 + 5y2 = 0 Combine like terms: -2y + -7y = -9y -14 + -9y + -6y2 + 5y2 = 0 Combine like terms: -6y2 + 5y2 = -1y2 -14 + -9y + -1y2 = 0 Solving -14 + -9y + -1y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-1'. -1(14 + 9y + y2) = 0 Factor a trinomial. -1((7 + y)(2 + y)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(7 + y)' equal to zero and attempt to solve: Simplifying 7 + y = 0 Solving 7 + y = 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 + y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + y = 0 + -7 y = 0 + -7 Combine like terms: 0 + -7 = -7 y = -7 Simplifying y = -7Subproblem 2
Set the factor '(2 + y)' equal to zero and attempt to solve: Simplifying 2 + y = 0 Solving 2 + y = 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 + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y = 0 + -2 y = 0 + -2 Combine like terms: 0 + -2 = -2 y = -2 Simplifying y = -2Solution
y = {-7, -2}
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