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Simplifying 4(y2 + -3) = -13y Reorder the terms: 4(-3 + y2) = -13y (-3 * 4 + y2 * 4) = -13y (-12 + 4y2) = -13y Solving -12 + 4y2 = -13y Solving for variable 'y'. Reorder the terms: -12 + 13y + 4y2 = -13y + 13y Combine like terms: -13y + 13y = 0 -12 + 13y + 4y2 = 0 Factor a trinomial. (-4 + -1y)(3 + -4y) = 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 + -4y)' equal to zero and attempt to solve: Simplifying 3 + -4y = 0 Solving 3 + -4y = 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 + -4y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4y = 0 + -3 -4y = 0 + -3 Combine like terms: 0 + -3 = -3 -4y = -3 Divide each side by '-4'. y = 0.75 Simplifying y = 0.75Solution
y = {-4, 0.75}
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