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Simplifying (x + 5)(x + 2) = 10 Reorder the terms: (5 + x)(x + 2) = 10 Reorder the terms: (5 + x)(2 + x) = 10 Multiply (5 + x) * (2 + x) (5(2 + x) + x(2 + x)) = 10 ((2 * 5 + x * 5) + x(2 + x)) = 10 ((10 + 5x) + x(2 + x)) = 10 (10 + 5x + (2 * x + x * x)) = 10 (10 + 5x + (2x + x2)) = 10 Combine like terms: 5x + 2x = 7x (10 + 7x + x2) = 10 Add '-10' to each side of the equation. 10 + 7x + -10 + x2 = 10 + -10 Reorder the terms: 10 + -10 + 7x + x2 = 10 + -10 Combine like terms: 10 + -10 = 0 0 + 7x + x2 = 10 + -10 7x + x2 = 10 + -10 Combine like terms: 10 + -10 = 0 7x + x2 = 0 Solving 7x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(7 + x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 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 = {0, -7}
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