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Simplifying 4y2 + -92y = -520 Reorder the terms: -92y + 4y2 = -520 Solving -92y + 4y2 = -520 Solving for variable 'y'. Reorder the terms: 520 + -92y + 4y2 = -520 + 520 Combine like terms: -520 + 520 = 0 520 + -92y + 4y2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(130 + -23y + y2) = 0 Factor a trinomial. 4((10 + -1y)(13 + -1y)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(10 + -1y)' equal to zero and attempt to solve: Simplifying 10 + -1y = 0 Solving 10 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1y = 0 + -10 -1y = 0 + -10 Combine like terms: 0 + -10 = -10 -1y = -10 Divide each side by '-1'. y = 10 Simplifying y = 10Subproblem 2
Set the factor '(13 + -1y)' equal to zero and attempt to solve: Simplifying 13 + -1y = 0 Solving 13 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1y = 0 + -13 -1y = 0 + -13 Combine like terms: 0 + -13 = -13 -1y = -13 Divide each side by '-1'. y = 13 Simplifying y = 13Solution
y = {10, 13}
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