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Simplifying 0.5(15 * 6x) + -1(10x * 6x) = 0 Multiply 15 * 6 0.5(90x) + -1(10x * 6x) = 0 Remove parenthesis around (90x) 0.5 * 90x + -1(10x * 6x) = 0 Multiply 0.5 * 90 45x + -1(10x * 6x) = 0 Reorder the terms for easier multiplication: 45x + -1(10 * 6x * x) = 0 Multiply 10 * 6 45x + -1(60x * x) = 0 Multiply x * x 45x + -1(60x2) = 0 Remove parenthesis around (60x2) 45x + -1 * 60x2 = 0 Multiply -1 * 60 45x + -60x2 = 0 Solving 45x + -60x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '15x'. 15x(3 + -4x) = 0 Ignore the factor 15.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 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 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 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Solution
x = {0, 0.75}
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