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Simplifying (x + 2)(x + 7) = 0 Reorder the terms: (2 + x)(x + 7) = 0 Reorder the terms: (2 + x)(7 + x) = 0 Multiply (2 + x) * (7 + x) (2(7 + x) + x(7 + x)) = 0 ((7 * 2 + x * 2) + x(7 + x)) = 0 ((14 + 2x) + x(7 + x)) = 0 (14 + 2x + (7 * x + x * x)) = 0 (14 + 2x + (7x + x2)) = 0 Combine like terms: 2x + 7x = 9x (14 + 9x + x2) = 0 Solving 14 + 9x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + x)(2 + x) = 0Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-7, -2}
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