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Simplifying 8y2(2y2 + -6y + 4) = 0 Reorder the terms: 8y2(4 + -6y + 2y2) = 0 (4 * 8y2 + -6y * 8y2 + 2y2 * 8y2) = 0 (32y2 + -48y3 + 16y4) = 0 Solving 32y2 + -48y3 + 16y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '16y2'. 16y2(2 + -3y + y2) = 0 Factor a trinomial. 16y2((1 + -1y)(2 + -1y)) = 0 Ignore the factor 16.Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2 = 0 Take the square root of each side: y = {0}Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 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 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1Subproblem 3
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 = {0, 1, 2}
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