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Simplifying y2 = 13(2y + -13) Reorder the terms: y2 = 13(-13 + 2y) y2 = (-13 * 13 + 2y * 13) y2 = (-169 + 26y) Solving y2 = -169 + 26y Solving for variable 'y'. Reorder the terms: 169 + -26y + y2 = -169 + 26y + 169 + -26y Reorder the terms: 169 + -26y + y2 = -169 + 169 + 26y + -26y Combine like terms: -169 + 169 = 0 169 + -26y + y2 = 0 + 26y + -26y 169 + -26y + y2 = 26y + -26y Combine like terms: 26y + -26y = 0 169 + -26y + y2 = 0 Factor a trinomial. (13 + -1y)(13 + -1y) = 0Subproblem 1
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 = 13Subproblem 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 = {13, 13}
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