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Simplifying x(2x + 14) + 24 = 24 Reorder the terms: x(14 + 2x) + 24 = 24 (14 * x + 2x * x) + 24 = 24 (14x + 2x2) + 24 = 24 Reorder the terms: 24 + 14x + 2x2 = 24 Add '-24' to each side of the equation. 24 + 14x + -24 + 2x2 = 24 + -24 Reorder the terms: 24 + -24 + 14x + 2x2 = 24 + -24 Combine like terms: 24 + -24 = 0 0 + 14x + 2x2 = 24 + -24 14x + 2x2 = 24 + -24 Combine like terms: 24 + -24 = 0 14x + 2x2 = 0 Solving 14x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(7 + x) = 0 Ignore the factor 2.Subproblem 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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