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Simplifying x2 = 43x + -252 Reorder the terms: x2 = -252 + 43x Solving x2 = -252 + 43x Solving for variable 'x'. Reorder the terms: 252 + -43x + x2 = -252 + 43x + 252 + -43x Reorder the terms: 252 + -43x + x2 = -252 + 252 + 43x + -43x Combine like terms: -252 + 252 = 0 252 + -43x + x2 = 0 + 43x + -43x 252 + -43x + x2 = 43x + -43x Combine like terms: 43x + -43x = 0 252 + -43x + x2 = 0 Factor a trinomial. (7 + -1x)(36 + -1x) = 0Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Subproblem 2
Set the factor '(36 + -1x)' equal to zero and attempt to solve: Simplifying 36 + -1x = 0 Solving 36 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -1x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1x = 0 + -36 -1x = 0 + -36 Combine like terms: 0 + -36 = -36 -1x = -36 Divide each side by '-1'. x = 36 Simplifying x = 36Solution
x = {7, 36}
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