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Simplifying (x + 3)(x) = 130 Reorder the terms: (3 + x)(x) = 130 Reorder the terms for easier multiplication: x(3 + x) = 130 (3 * x + x * x) = 130 (3x + x2) = 130 Solving 3x + x2 = 130 Solving for variable 'x'. Reorder the terms: -130 + 3x + x2 = 130 + -130 Combine like terms: 130 + -130 = 0 -130 + 3x + x2 = 0 Factor a trinomial. (-13 + -1x)(10 + -1x) = 0Subproblem 1
Set the factor '(-13 + -1x)' equal to zero and attempt to solve: Simplifying -13 + -1x = 0 Solving -13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = 0 + 13 -1x = 0 + 13 Combine like terms: 0 + 13 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13Subproblem 2
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 = 10Solution
x = {-13, 10}
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