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Simplifying (x + 4) * x(23 + -1x) = 0 Reorder the terms: (4 + x) * x(23 + -1x) = 0 Reorder the terms for easier multiplication: x(4 + x)(23 + -1x) = 0 Multiply (4 + x) * (23 + -1x) x(4(23 + -1x) + x(23 + -1x)) = 0 x((23 * 4 + -1x * 4) + x(23 + -1x)) = 0 x((92 + -4x) + x(23 + -1x)) = 0 x(92 + -4x + (23 * x + -1x * x)) = 0 x(92 + -4x + (23x + -1x2)) = 0 Combine like terms: -4x + 23x = 19x x(92 + 19x + -1x2) = 0 (92 * x + 19x * x + -1x2 * x) = 0 (92x + 19x2 + -1x3) = 0 Solving 92x + 19x2 + -1x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(92 + 19x + -1x2) = 0 Factor a trinomial. x((23 + -1x)(4 + 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 '(23 + -1x)' equal to zero and attempt to solve: Simplifying 23 + -1x = 0 Solving 23 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -1x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -1x = 0 + -23 -1x = 0 + -23 Combine like terms: 0 + -23 = -23 -1x = -23 Divide each side by '-1'. x = 23 Simplifying x = 23Subproblem 3
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {0, 23, -4}
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