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Simplifying 360 = x(x + 26) Reorder the terms: 360 = x(26 + x) 360 = (26 * x + x * x) 360 = (26x + x2) Solving 360 = 26x + x2 Solving for variable 'x'. Reorder the terms: 360 + -26x + -1x2 = 26x + -26x + x2 + -1x2 Combine like terms: 26x + -26x = 0 360 + -26x + -1x2 = 0 + x2 + -1x2 360 + -26x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 360 + -26x + -1x2 = 0 Factor a trinomial. (10 + -1x)(36 + x) = 0Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Subproblem 2
Set the factor '(36 + x)' equal to zero and attempt to solve: Simplifying 36 + x = 0 Solving 36 + x = 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 + x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + x = 0 + -36 x = 0 + -36 Combine like terms: 0 + -36 = -36 x = -36 Simplifying x = -36Solution
x = {10, -36}
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