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Simplifying -5y2 + -29y + -42 = 0 Reorder the terms: -42 + -29y + -5y2 = 0 Solving -42 + -29y + -5y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-1'. -1(42 + 29y + 5y2) = 0 Factor a trinomial. -1((3 + y)(14 + 5y)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Simplifying y = -3Subproblem 2
Set the factor '(14 + 5y)' equal to zero and attempt to solve: Simplifying 14 + 5y = 0 Solving 14 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 5y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 5y = 0 + -14 5y = 0 + -14 Combine like terms: 0 + -14 = -14 5y = -14 Divide each side by '5'. y = -2.8 Simplifying y = -2.8Solution
y = {-3, -2.8}
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