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Simplifying -3y4(8y2 + 2y + -6) = 0 Reorder the terms: -3y4(-6 + 2y + 8y2) = 0 (-6 * -3y4 + 2y * -3y4 + 8y2 * -3y4) = 0 (18y4 + -6y5 + -24y6) = 0 Solving 18y4 + -6y5 + -24y6 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '6y4'. 6y4(3 + -1y + -4y2) = 0 Factor a trinomial. 6y4((3 + -4y)(1 + y)) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'y4' equal to zero and attempt to solve: Simplifying y4 = 0 Solving y4 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y4 = 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 '(3 + -4y)' equal to zero and attempt to solve: Simplifying 3 + -4y = 0 Solving 3 + -4y = 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 + -4y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4y = 0 + -3 -4y = 0 + -3 Combine like terms: 0 + -3 = -3 -4y = -3 Divide each side by '-4'. y = 0.75 Simplifying y = 0.75Subproblem 3
Set the factor '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 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 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Simplifying y = -1Solution
y = {0.75, -1}
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