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Simplifying 10x + -30(8x) * x = 0 Remove parenthesis around (8x) 10x + -30 * 8x * x = 0 Multiply -30 * 8 10x + -240x * x = 0 Multiply x * x 10x + -240x2 = 0 Solving 10x + -240x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '10x'. 10x(1 + -24x) = 0 Ignore the factor 10.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 '(1 + -24x)' equal to zero and attempt to solve: Simplifying 1 + -24x = 0 Solving 1 + -24x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -24x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -24x = 0 + -1 -24x = 0 + -1 Combine like terms: 0 + -1 = -1 -24x = -1 Divide each side by '-24'. x = 0.04166666667 Simplifying x = 0.04166666667Solution
x = {0, 0.04166666667}
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