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Simplifying (x + 5)(2x + 1) = 5 Reorder the terms: (5 + x)(2x + 1) = 5 Reorder the terms: (5 + x)(1 + 2x) = 5 Multiply (5 + x) * (1 + 2x) (5(1 + 2x) + x(1 + 2x)) = 5 ((1 * 5 + 2x * 5) + x(1 + 2x)) = 5 ((5 + 10x) + x(1 + 2x)) = 5 (5 + 10x + (1 * x + 2x * x)) = 5 (5 + 10x + (1x + 2x2)) = 5 Combine like terms: 10x + 1x = 11x (5 + 11x + 2x2) = 5 Add '-5' to each side of the equation. 5 + 11x + -5 + 2x2 = 5 + -5 Reorder the terms: 5 + -5 + 11x + 2x2 = 5 + -5 Combine like terms: 5 + -5 = 0 0 + 11x + 2x2 = 5 + -5 11x + 2x2 = 5 + -5 Combine like terms: 5 + -5 = 0 11x + 2x2 = 0 Solving 11x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(11 + 2x) = 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 '(11 + 2x)' equal to zero and attempt to solve: Simplifying 11 + 2x = 0 Solving 11 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = 0 + -11 2x = 0 + -11 Combine like terms: 0 + -11 = -11 2x = -11 Divide each side by '2'. x = -5.5 Simplifying x = -5.5Solution
x = {0, -5.5}
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