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Simplifying -2(3y + -4) * 2y = -16 Reorder the terms: -2(-4 + 3y) * 2y = -16 Reorder the terms for easier multiplication: -2 * 2y(-4 + 3y) = -16 Multiply -2 * 2 -4y(-4 + 3y) = -16 (-4 * -4y + 3y * -4y) = -16 (16y + -12y2) = -16 Solving 16y + -12y2 = -16 Solving for variable 'y'. Reorder the terms: 16 + 16y + -12y2 = -16 + 16 Combine like terms: -16 + 16 = 0 16 + 16y + -12y2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(4 + 4y + -3y2) = 0 Factor a trinomial. 4((2 + -1y)(2 + 3y)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2Subproblem 2
Set the factor '(2 + 3y)' equal to zero and attempt to solve: Simplifying 2 + 3y = 0 Solving 2 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3y = 0 + -2 3y = 0 + -2 Combine like terms: 0 + -2 = -2 3y = -2 Divide each side by '3'. y = -0.6666666667 Simplifying y = -0.6666666667Solution
y = {2, -0.6666666667}
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