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Simplifying (4 + -2y)(-3y + -4) = 0 Reorder the terms: (4 + -2y)(-4 + -3y) = 0 Multiply (4 + -2y) * (-4 + -3y) (4(-4 + -3y) + -2y * (-4 + -3y)) = 0 ((-4 * 4 + -3y * 4) + -2y * (-4 + -3y)) = 0 ((-16 + -12y) + -2y * (-4 + -3y)) = 0 (-16 + -12y + (-4 * -2y + -3y * -2y)) = 0 (-16 + -12y + (8y + 6y2)) = 0 Combine like terms: -12y + 8y = -4y (-16 + -4y + 6y2) = 0 Solving -16 + -4y + 6y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(-8 + -2y + 3y2) = 0 Factor a trinomial. 2((-4 + -3y)(2 + -1y)) = 0 Ignore the factor 2.Subproblem 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 '(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 = 2Solution
y = {-1.333333333, 2}
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