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Simplifying 1058 = 92y + -2y2 Solving 1058 = 92y + -2y2 Solving for variable 'y'. Reorder the terms: 1058 + -92y + 2y2 = 92y + -92y + -2y2 + 2y2 Combine like terms: 92y + -92y = 0 1058 + -92y + 2y2 = 0 + -2y2 + 2y2 1058 + -92y + 2y2 = -2y2 + 2y2 Combine like terms: -2y2 + 2y2 = 0 1058 + -92y + 2y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(529 + -46y + y2) = 0 Factor a trinomial. 2((23 + -1y)(23 + -1y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(23 + -1y)' equal to zero and attempt to solve: Simplifying 23 + -1y = 0 Solving 23 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -1y = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -1y = 0 + -23 -1y = 0 + -23 Combine like terms: 0 + -23 = -23 -1y = -23 Divide each side by '-1'. y = 23 Simplifying y = 23Subproblem 2
Set the factor '(23 + -1y)' equal to zero and attempt to solve: Simplifying 23 + -1y = 0 Solving 23 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -1y = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -1y = 0 + -23 -1y = 0 + -23 Combine like terms: 0 + -23 = -23 -1y = -23 Divide each side by '-1'. y = 23 Simplifying y = 23Solution
y = {23, 23}
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