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Simplifying 4y2 + 12y = 720 Reorder the terms: 12y + 4y2 = 720 Solving 12y + 4y2 = 720 Solving for variable 'y'. Reorder the terms: -720 + 12y + 4y2 = 720 + -720 Combine like terms: 720 + -720 = 0 -720 + 12y + 4y2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-180 + 3y + y2) = 0 Factor a trinomial. 4((-15 + -1y)(12 + -1y)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-15 + -1y)' equal to zero and attempt to solve: Simplifying -15 + -1y = 0 Solving -15 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1y = 0 + 15 -1y = 0 + 15 Combine like terms: 0 + 15 = 15 -1y = 15 Divide each side by '-1'. y = -15 Simplifying y = -15Subproblem 2
Set the factor '(12 + -1y)' equal to zero and attempt to solve: Simplifying 12 + -1y = 0 Solving 12 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1y = 0 + -12 -1y = 0 + -12 Combine like terms: 0 + -12 = -12 -1y = -12 Divide each side by '-1'. y = 12 Simplifying y = 12Solution
y = {-15, 12}
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