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Simplifying -3y(3y + 4) = 4 Reorder the terms: -3y(4 + 3y) = 4 (4 * -3y + 3y * -3y) = 4 (-12y + -9y2) = 4 Solving -12y + -9y2 = 4 Solving for variable 'y'. Reorder the terms: -4 + -12y + -9y2 = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -12y + -9y2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(4 + 12y + 9y2) = 0 Factor a trinomial. -1((2 + 3y)(2 + 3y)) = 0 Ignore the factor -1.Subproblem 1
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 = -0.6666666667Subproblem 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 = {-0.6666666667, -0.6666666667}
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