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Simplifying 46x = 23x(x + 5) Reorder the terms: 46x = 23x(5 + x) 46x = (5 * 23x + x * 23x) 46x = (115x + 23x2) Solving 46x = 115x + 23x2 Solving for variable 'x'. Combine like terms: 46x + -115x = -69x -69x + -23x2 = 115x + 23x2 + -115x + -23x2 Reorder the terms: -69x + -23x2 = 115x + -115x + 23x2 + -23x2 Combine like terms: 115x + -115x = 0 -69x + -23x2 = 0 + 23x2 + -23x2 -69x + -23x2 = 23x2 + -23x2 Combine like terms: 23x2 + -23x2 = 0 -69x + -23x2 = 0 Factor out the Greatest Common Factor (GCF), '-23x'. -23x(3 + x) = 0 Ignore the factor -23.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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {0, -3}
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