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Simplifying 3y2 = -16y + 12 Reorder the terms: 3y2 = 12 + -16y Solving 3y2 = 12 + -16y Solving for variable 'y'. Reorder the terms: -12 + 16y + 3y2 = 12 + -16y + -12 + 16y Reorder the terms: -12 + 16y + 3y2 = 12 + -12 + -16y + 16y Combine like terms: 12 + -12 = 0 -12 + 16y + 3y2 = 0 + -16y + 16y -12 + 16y + 3y2 = -16y + 16y Combine like terms: -16y + 16y = 0 -12 + 16y + 3y2 = 0 Factor a trinomial. (-6 + -1y)(2 + -3y) = 0Subproblem 1
Set the factor '(-6 + -1y)' equal to zero and attempt to solve: Simplifying -6 + -1y = 0 Solving -6 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1y = 0 + 6 -1y = 0 + 6 Combine like terms: 0 + 6 = 6 -1y = 6 Divide each side by '-1'. y = -6 Simplifying y = -6Subproblem 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 = {-6, 0.6666666667}
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