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Simplifying -63 = 4y(y + -8) Reorder the terms: -63 = 4y(-8 + y) -63 = (-8 * 4y + y * 4y) -63 = (-32y + 4y2) Solving -63 = -32y + 4y2 Solving for variable 'y'. Reorder the terms: -63 + 32y + -4y2 = -32y + 32y + 4y2 + -4y2 Combine like terms: -32y + 32y = 0 -63 + 32y + -4y2 = 0 + 4y2 + -4y2 -63 + 32y + -4y2 = 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 -63 + 32y + -4y2 = 0 Factor a trinomial. (-9 + 2y)(7 + -2y) = 0Subproblem 1
Set the factor '(-9 + 2y)' equal to zero and attempt to solve: Simplifying -9 + 2y = 0 Solving -9 + 2y = 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 + 2y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2y = 0 + 9 2y = 0 + 9 Combine like terms: 0 + 9 = 9 2y = 9 Divide each side by '2'. y = 4.5 Simplifying y = 4.5Subproblem 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 = {4.5, 3.5}
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