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Simplifying (4 + -1x)(5 + -1x) = x * x + 38 Multiply (4 + -1x) * (5 + -1x) (4(5 + -1x) + -1x * (5 + -1x)) = x * x + 38 ((5 * 4 + -1x * 4) + -1x * (5 + -1x)) = x * x + 38 ((20 + -4x) + -1x * (5 + -1x)) = x * x + 38 (20 + -4x + (5 * -1x + -1x * -1x)) = x * x + 38 (20 + -4x + (-5x + 1x2)) = x * x + 38 Combine like terms: -4x + -5x = -9x (20 + -9x + 1x2) = x * x + 38 Multiply x * x 20 + -9x + 1x2 = x2 + 38 Reorder the terms: 20 + -9x + 1x2 = 38 + x2 Solving 20 + -9x + 1x2 = 38 + x2 Solving for variable 'x'. Reorder the terms: 20 + -38 + -9x + 1x2 + -1x2 = 38 + x2 + -38 + -1x2 Combine like terms: 20 + -38 = -18 -18 + -9x + 1x2 + -1x2 = 38 + x2 + -38 + -1x2 Combine like terms: 1x2 + -1x2 = 0 -18 + -9x + 0 = 38 + x2 + -38 + -1x2 -18 + -9x = 38 + x2 + -38 + -1x2 Reorder the terms: -18 + -9x = 38 + -38 + x2 + -1x2 Combine like terms: 38 + -38 = 0 -18 + -9x = 0 + x2 + -1x2 -18 + -9x = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -18 + -9x = 0 Factor out the Greatest Common Factor (GCF), '-9'. -9(2 + x) = 0 Ignore the factor -9.Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-2}
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