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Simplifying 5x(6x + -10) * x = 0 Reorder the terms: 5x(-10 + 6x) * x = 0 Reorder the terms for easier multiplication: 5x * x(-10 + 6x) = 0 Multiply x * x 5x2(-10 + 6x) = 0 (-10 * 5x2 + 6x * 5x2) = 0 (-50x2 + 30x3) = 0 Solving -50x2 + 30x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '10x2'. 10x2(-5 + 3x) = 0 Ignore the factor 10.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 '(-5 + 3x)' equal to zero and attempt to solve: Simplifying -5 + 3x = 0 Solving -5 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 0 + 5 3x = 0 + 5 Combine like terms: 0 + 5 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667Solution
x = {0, 1.666666667}
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