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Simplifying (-7y + 3)(-6y + -9) = 0 Reorder the terms: (3 + -7y)(-6y + -9) = 0 Reorder the terms: (3 + -7y)(-9 + -6y) = 0 Multiply (3 + -7y) * (-9 + -6y) (3(-9 + -6y) + -7y * (-9 + -6y)) = 0 ((-9 * 3 + -6y * 3) + -7y * (-9 + -6y)) = 0 ((-27 + -18y) + -7y * (-9 + -6y)) = 0 (-27 + -18y + (-9 * -7y + -6y * -7y)) = 0 (-27 + -18y + (63y + 42y2)) = 0 Combine like terms: -18y + 63y = 45y (-27 + 45y + 42y2) = 0 Solving -27 + 45y + 42y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3'. 3(-9 + 15y + 14y2) = 0 Factor a trinomial. 3((-3 + -2y)(3 + -7y)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-3 + -2y)' equal to zero and attempt to solve: Simplifying -3 + -2y = 0 Solving -3 + -2y = 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 + -2y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2y = 0 + 3 -2y = 0 + 3 Combine like terms: 0 + 3 = 3 -2y = 3 Divide each side by '-2'. y = -1.5 Simplifying y = -1.5Subproblem 2
Set the factor '(3 + -7y)' equal to zero and attempt to solve: Simplifying 3 + -7y = 0 Solving 3 + -7y = 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 + -7y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7y = 0 + -3 -7y = 0 + -3 Combine like terms: 0 + -3 = -3 -7y = -3 Divide each side by '-7'. y = 0.4285714286 Simplifying y = 0.4285714286Solution
y = {-1.5, 0.4285714286}
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