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Simplifying (x + 18)(x + 14) = 252 Reorder the terms: (18 + x)(x + 14) = 252 Reorder the terms: (18 + x)(14 + x) = 252 Multiply (18 + x) * (14 + x) (18(14 + x) + x(14 + x)) = 252 ((14 * 18 + x * 18) + x(14 + x)) = 252 ((252 + 18x) + x(14 + x)) = 252 (252 + 18x + (14 * x + x * x)) = 252 (252 + 18x + (14x + x2)) = 252 Combine like terms: 18x + 14x = 32x (252 + 32x + x2) = 252 Add '-252' to each side of the equation. 252 + 32x + -252 + x2 = 252 + -252 Reorder the terms: 252 + -252 + 32x + x2 = 252 + -252 Combine like terms: 252 + -252 = 0 0 + 32x + x2 = 252 + -252 32x + x2 = 252 + -252 Combine like terms: 252 + -252 = 0 32x + x2 = 0 Solving 32x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(32 + 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 '(32 + x)' equal to zero and attempt to solve: Simplifying 32 + x = 0 Solving 32 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + x = 0 + -32 x = 0 + -32 Combine like terms: 0 + -32 = -32 x = -32 Simplifying x = -32Solution
x = {0, -32}
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