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Simplifying (x + 7)(x + 17) = 0 Reorder the terms: (7 + x)(x + 17) = 0 Reorder the terms: (7 + x)(17 + x) = 0 Multiply (7 + x) * (17 + x) (7(17 + x) + x(17 + x)) = 0 ((17 * 7 + x * 7) + x(17 + x)) = 0 ((119 + 7x) + x(17 + x)) = 0 (119 + 7x + (17 * x + x * x)) = 0 (119 + 7x + (17x + x2)) = 0 Combine like terms: 7x + 17x = 24x (119 + 24x + x2) = 0 Solving 119 + 24x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (17 + x)(7 + x) = 0Subproblem 1
Set the factor '(17 + x)' equal to zero and attempt to solve: Simplifying 17 + x = 0 Solving 17 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + x = 0 + -17 x = 0 + -17 Combine like terms: 0 + -17 = -17 x = -17 Simplifying x = -17Subproblem 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 = {-17, -7}
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