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Simplifying 6x = 4x(5 + -30x) 6x = (5 * 4x + -30x * 4x) 6x = (20x + -120x2) Solving 6x = 20x + -120x2 Solving for variable 'x'. Combine like terms: 6x + -20x = -14x -14x + 120x2 = 20x + -120x2 + -20x + 120x2 Reorder the terms: -14x + 120x2 = 20x + -20x + -120x2 + 120x2 Combine like terms: 20x + -20x = 0 -14x + 120x2 = 0 + -120x2 + 120x2 -14x + 120x2 = -120x2 + 120x2 Combine like terms: -120x2 + 120x2 = 0 -14x + 120x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-7 + 60x) = 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 '(-7 + 60x)' equal to zero and attempt to solve: Simplifying -7 + 60x = 0 Solving -7 + 60x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 60x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 60x = 0 + 7 60x = 0 + 7 Combine like terms: 0 + 7 = 7 60x = 7 Divide each side by '60'. x = 0.1166666667 Simplifying x = 0.1166666667Solution
x = {0, 0.1166666667}
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