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Simplifying 7y9 + -14y8 + -56y7 = 0 Reorder the terms: -56y7 + -14y8 + 7y9 = 0 Solving -56y7 + -14y8 + 7y9 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '7y7'. 7y7(-8 + -2y + y2) = 0 Factor a trinomial. 7y7((-2 + -1y)(4 + -1y)) = 0 Ignore the factor 7.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 '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 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 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4Solution
y = {-2, 4}
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