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Simplifying x(4 + -1x) + 5x = x + 3x (4 * x + -1x * x) + 5x = x + 3x (4x + -1x2) + 5x = x + 3x Reorder the terms: 4x + 5x + -1x2 = x + 3x Combine like terms: 4x + 5x = 9x 9x + -1x2 = x + 3x Combine like terms: x + 3x = 4x 9x + -1x2 = 4x Solving 9x + -1x2 = 4x Solving for variable 'x'. Reorder the terms: 9x + -4x + -1x2 = 4x + -4x Combine like terms: 9x + -4x = 5x 5x + -1x2 = 4x + -4x Combine like terms: 4x + -4x = 0 5x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(5 + -1x) = 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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {0, 5}
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