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Simplifying x(x + 7) + 9(x + 7) = 0 Reorder the terms: x(7 + x) + 9(x + 7) = 0 (7 * x + x * x) + 9(x + 7) = 0 (7x + x2) + 9(x + 7) = 0 Reorder the terms: 7x + x2 + 9(7 + x) = 0 7x + x2 + (7 * 9 + x * 9) = 0 7x + x2 + (63 + 9x) = 0 Reorder the terms: 63 + 7x + 9x + x2 = 0 Combine like terms: 7x + 9x = 16x 63 + 16x + x2 = 0 Solving 63 + 16x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + x)(7 + x) = 0Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Subproblem 2
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 = -7Solution
x = {-9, -7}
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