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Simplifying 36 = (x + -2)(x + 7) Reorder the terms: 36 = (-2 + x)(x + 7) Reorder the terms: 36 = (-2 + x)(7 + x) Multiply (-2 + x) * (7 + x) 36 = (-2(7 + x) + x(7 + x)) 36 = ((7 * -2 + x * -2) + x(7 + x)) 36 = ((-14 + -2x) + x(7 + x)) 36 = (-14 + -2x + (7 * x + x * x)) 36 = (-14 + -2x + (7x + x2)) Combine like terms: -2x + 7x = 5x 36 = (-14 + 5x + x2) Solving 36 = -14 + 5x + x2 Solving for variable 'x'. Combine like terms: 36 + 14 = 50 50 + -5x + -1x2 = -14 + 5x + x2 + 14 + -5x + -1x2 Reorder the terms: 50 + -5x + -1x2 = -14 + 14 + 5x + -5x + x2 + -1x2 Combine like terms: -14 + 14 = 0 50 + -5x + -1x2 = 0 + 5x + -5x + x2 + -1x2 50 + -5x + -1x2 = 5x + -5x + x2 + -1x2 Combine like terms: 5x + -5x = 0 50 + -5x + -1x2 = 0 + x2 + -1x2 50 + -5x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 50 + -5x + -1x2 = 0 Factor a trinomial. (5 + -1x)(10 + x) = 0Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 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 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Solution
x = {5, -10}
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