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Simplifying 4y2 = 16y + -16 Reorder the terms: 4y2 = -16 + 16y Solving 4y2 = -16 + 16y Solving for variable 'y'. Reorder the terms: 16 + -16y + 4y2 = -16 + 16y + 16 + -16y Reorder the terms: 16 + -16y + 4y2 = -16 + 16 + 16y + -16y Combine like terms: -16 + 16 = 0 16 + -16y + 4y2 = 0 + 16y + -16y 16 + -16y + 4y2 = 16y + -16y Combine like terms: 16y + -16y = 0 16 + -16y + 4y2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(4 + -4y + y2) = 0 Factor a trinomial. 4((2 + -1y)(2 + -1y)) = 0 Ignore the factor 4.Subproblem 1
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 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 = 2Solution
y = {2, 2}
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