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Simplifying 4x = x(3x + -14) Reorder the terms: 4x = x(-14 + 3x) 4x = (-14 * x + 3x * x) 4x = (-14x + 3x2) Solving 4x = -14x + 3x2 Solving for variable 'x'. Combine like terms: 4x + 14x = 18x 18x + -3x2 = -14x + 3x2 + 14x + -3x2 Reorder the terms: 18x + -3x2 = -14x + 14x + 3x2 + -3x2 Combine like terms: -14x + 14x = 0 18x + -3x2 = 0 + 3x2 + -3x2 18x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 18x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(6 + -1x) = 0 Ignore the factor 3.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 '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {0, 6}
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