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Simplifying 2x(10x + -6) * 3x = 0 Reorder the terms: 2x(-6 + 10x) * 3x = 0 Reorder the terms for easier multiplication: 2 * 3x * x(-6 + 10x) = 0 Multiply 2 * 3 6x * x(-6 + 10x) = 0 Multiply x * x 6x2(-6 + 10x) = 0 (-6 * 6x2 + 10x * 6x2) = 0 (-36x2 + 60x3) = 0 Solving -36x2 + 60x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '12x2'. 12x2(-3 + 5x) = 0 Ignore the factor 12.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 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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