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Simplifying 5y = 2(y2 + -6) Reorder the terms: 5y = 2(-6 + y2) 5y = (-6 * 2 + y2 * 2) 5y = (-12 + 2y2) Solving 5y = -12 + 2y2 Solving for variable 'y'. Reorder the terms: 12 + 5y + -2y2 = -12 + 2y2 + 12 + -2y2 Reorder the terms: 12 + 5y + -2y2 = -12 + 12 + 2y2 + -2y2 Combine like terms: -12 + 12 = 0 12 + 5y + -2y2 = 0 + 2y2 + -2y2 12 + 5y + -2y2 = 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 12 + 5y + -2y2 = 0 Factor a trinomial. (4 + -1y)(3 + 2y) = 0Subproblem 1
Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4Subproblem 2
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 = -1.5Solution
y = {4, -1.5}
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