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Simplifying -6y6(-5y3 + -7y2 + 6y) = 0 Reorder the terms: -6y6(6y + -7y2 + -5y3) = 0 (6y * -6y6 + -7y2 * -6y6 + -5y3 * -6y6) = 0 (-36y7 + 42y8 + 30y9) = 0 Solving -36y7 + 42y8 + 30y9 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '6y7'. 6y7(-6 + 7y + 5y2) = 0 Factor a trinomial. 6y7((-2 + -1y)(3 + -5y)) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'y7' equal to zero and attempt to solve: Simplifying y7 = 0 Solving y7 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y7 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 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 = -2Subproblem 3
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 = {-2, 0.6}
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