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Simplifying 4y2 + -8y + -8 = 13 Reorder the terms: -8 + -8y + 4y2 = 13 Solving -8 + -8y + 4y2 = 13 Solving for variable 'y'. Reorder the terms: -8 + -13 + -8y + 4y2 = 13 + -13 Combine like terms: -8 + -13 = -21 -21 + -8y + 4y2 = 13 + -13 Combine like terms: 13 + -13 = 0 -21 + -8y + 4y2 = 0 Factor a trinomial. (-3 + -2y)(7 + -2y) = 0Subproblem 1
Set the factor '(-3 + -2y)' equal to zero and attempt to solve: Simplifying -3 + -2y = 0 Solving -3 + -2y = 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 + -2y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2y = 0 + 3 -2y = 0 + 3 Combine like terms: 0 + 3 = 3 -2y = 3 Divide each side by '-2'. y = -1.5 Simplifying y = -1.5Subproblem 2
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 = 3.5Solution
y = {-1.5, 3.5}
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