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Simplifying 5y(3y + 4) = 9y + 12 Reorder the terms: 5y(4 + 3y) = 9y + 12 (4 * 5y + 3y * 5y) = 9y + 12 (20y + 15y2) = 9y + 12 Reorder the terms: 20y + 15y2 = 12 + 9y Solving 20y + 15y2 = 12 + 9y Solving for variable 'y'. Reorder the terms: -12 + 20y + -9y + 15y2 = 12 + 9y + -12 + -9y Combine like terms: 20y + -9y = 11y -12 + 11y + 15y2 = 12 + 9y + -12 + -9y Reorder the terms: -12 + 11y + 15y2 = 12 + -12 + 9y + -9y Combine like terms: 12 + -12 = 0 -12 + 11y + 15y2 = 0 + 9y + -9y -12 + 11y + 15y2 = 9y + -9y Combine like terms: 9y + -9y = 0 -12 + 11y + 15y2 = 0 Factor a trinomial. (-4 + -3y)(3 + -5y) = 0Subproblem 1
Set the factor '(-4 + -3y)' equal to zero and attempt to solve: Simplifying -4 + -3y = 0 Solving -4 + -3y = 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 + -3y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3y = 0 + 4 -3y = 0 + 4 Combine like terms: 0 + 4 = 4 -3y = 4 Divide each side by '-3'. y = -1.333333333 Simplifying y = -1.333333333Subproblem 2
Set the factor '(3 + -5y)' equal to zero and attempt to solve: Simplifying 3 + -5y = 0 Solving 3 + -5y = 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 + -5y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5y = 0 + -3 -5y = 0 + -3 Combine like terms: 0 + -3 = -3 -5y = -3 Divide each side by '-5'. y = 0.6 Simplifying y = 0.6Solution
y = {-1.333333333, 0.6}
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