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Simplifying 4x = 2x(3x + -8) Reorder the terms: 4x = 2x(-8 + 3x) 4x = (-8 * 2x + 3x * 2x) 4x = (-16x + 6x2) Solving 4x = -16x + 6x2 Solving for variable 'x'. Combine like terms: 4x + 16x = 20x 20x + -6x2 = -16x + 6x2 + 16x + -6x2 Reorder the terms: 20x + -6x2 = -16x + 16x + 6x2 + -6x2 Combine like terms: -16x + 16x = 0 20x + -6x2 = 0 + 6x2 + -6x2 20x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 20x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(10 + -3x) = 0 Ignore the factor 2.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 '(10 + -3x)' equal to zero and attempt to solve: Simplifying 10 + -3x = 0 Solving 10 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 0 + -10 -3x = 0 + -10 Combine like terms: 0 + -10 = -10 -3x = -10 Divide each side by '-3'. x = 3.333333333 Simplifying x = 3.333333333Solution
x = {0, 3.333333333}
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