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Simplifying 112y2 + -50y + -42 = 0 Reorder the terms: -42 + -50y + 112y2 = 0 Solving -42 + -50y + 112y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(-21 + -25y + 56y2) = 0 Factor a trinomial. 2((-3 + -7y)(7 + -8y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -7y)' equal to zero and attempt to solve: Simplifying -3 + -7y = 0 Solving -3 + -7y = 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 + -7y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7y = 0 + 3 -7y = 0 + 3 Combine like terms: 0 + 3 = 3 -7y = 3 Divide each side by '-7'. y = -0.4285714286 Simplifying y = -0.4285714286Subproblem 2
Set the factor '(7 + -8y)' equal to zero and attempt to solve: Simplifying 7 + -8y = 0 Solving 7 + -8y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -8y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8y = 0 + -7 -8y = 0 + -7 Combine like terms: 0 + -7 = -7 -8y = -7 Divide each side by '-8'. y = 0.875 Simplifying y = 0.875Solution
y = {-0.4285714286, 0.875}
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