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Simplifying x(x + 7) = 2(x + -2) Reorder the terms: x(7 + x) = 2(x + -2) (7 * x + x * x) = 2(x + -2) (7x + x2) = 2(x + -2) Reorder the terms: 7x + x2 = 2(-2 + x) 7x + x2 = (-2 * 2 + x * 2) 7x + x2 = (-4 + 2x) Solving 7x + x2 = -4 + 2x Solving for variable 'x'. Reorder the terms: 4 + 7x + -2x + x2 = -4 + 2x + 4 + -2x Combine like terms: 7x + -2x = 5x 4 + 5x + x2 = -4 + 2x + 4 + -2x Reorder the terms: 4 + 5x + x2 = -4 + 4 + 2x + -2x Combine like terms: -4 + 4 = 0 4 + 5x + x2 = 0 + 2x + -2x 4 + 5x + x2 = 2x + -2x Combine like terms: 2x + -2x = 0 4 + 5x + x2 = 0 Factor a trinomial. (4 + x)(1 + x) = 0Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-4, -1}
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