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Simplifying (2y + -4)(-9y + 3) = 0 Reorder the terms: (-4 + 2y)(-9y + 3) = 0 Reorder the terms: (-4 + 2y)(3 + -9y) = 0 Multiply (-4 + 2y) * (3 + -9y) (-4(3 + -9y) + 2y * (3 + -9y)) = 0 ((3 * -4 + -9y * -4) + 2y * (3 + -9y)) = 0 ((-12 + 36y) + 2y * (3 + -9y)) = 0 (-12 + 36y + (3 * 2y + -9y * 2y)) = 0 (-12 + 36y + (6y + -18y2)) = 0 Combine like terms: 36y + 6y = 42y (-12 + 42y + -18y2) = 0 Solving -12 + 42y + -18y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '6'. 6(-2 + 7y + -3y2) = 0 Factor a trinomial. 6((-2 + y)(1 + -3y)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-2 + y)' equal to zero and attempt to solve: Simplifying -2 + y = 0 Solving -2 + y = 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 + y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + y = 0 + 2 y = 0 + 2 Combine like terms: 0 + 2 = 2 y = 2 Simplifying y = 2Subproblem 2
Set the factor '(1 + -3y)' equal to zero and attempt to solve: Simplifying 1 + -3y = 0 Solving 1 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3y = 0 + -1 -3y = 0 + -1 Combine like terms: 0 + -1 = -1 -3y = -1 Divide each side by '-3'. y = 0.3333333333 Simplifying y = 0.3333333333Solution
y = {2, 0.3333333333}
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