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Simplifying (x + 10)(x + 7) = 0 Reorder the terms: (10 + x)(x + 7) = 0 Reorder the terms: (10 + x)(7 + x) = 0 Multiply (10 + x) * (7 + x) (10(7 + x) + x(7 + x)) = 0 ((7 * 10 + x * 10) + x(7 + x)) = 0 ((70 + 10x) + x(7 + x)) = 0 (70 + 10x + (7 * x + x * x)) = 0 (70 + 10x + (7x + x2)) = 0 Combine like terms: 10x + 7x = 17x (70 + 17x + x2) = 0 Solving 70 + 17x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (10 + x)(7 + x) = 0Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 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 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Subproblem 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 = {-10, -7}
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