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Simplifying 28y2 + -84y + 20y + -60 = 0 Reorder the terms: -60 + -84y + 20y + 28y2 = 0 Combine like terms: -84y + 20y = -64y -60 + -64y + 28y2 = 0 Solving -60 + -64y + 28y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4'. 4(-15 + -16y + 7y2) = 0 Factor a trinomial. 4((-5 + -7y)(3 + -1y)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-5 + -7y)' equal to zero and attempt to solve: Simplifying -5 + -7y = 0 Solving -5 + -7y = 0 Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -7y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7y = 0 + 5 -7y = 0 + 5 Combine like terms: 0 + 5 = 5 -7y = 5 Divide each side by '-7'. y = -0.7142857143 Simplifying y = -0.7142857143Subproblem 2
Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 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 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3Solution
y = {-0.7142857143, 3}
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