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Simplifying 0 = 2x(5x + -3) Reorder the terms: 0 = 2x(-3 + 5x) 0 = (-3 * 2x + 5x * 2x) 0 = (-6x + 10x2) Solving 0 = -6x + 10x2 Solving for variable 'x'. Remove the zero: 6x + -10x2 = -6x + 10x2 + 6x + -10x2 Reorder the terms: 6x + -10x2 = -6x + 6x + 10x2 + -10x2 Combine like terms: -6x + 6x = 0 6x + -10x2 = 0 + 10x2 + -10x2 6x + -10x2 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 6x + -10x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(3 + -5x) = 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 '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 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 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Solution
x = {0, 0.6}
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