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Simplifying 10x * 12x = 10x * 5 Reorder the terms for easier multiplication: 10 * 12x * x = 10x * 5 Multiply 10 * 12 120x * x = 10x * 5 Multiply x * x 120x2 = 10x * 5 Reorder the terms for easier multiplication: 120x2 = 10 * 5x Multiply 10 * 5 120x2 = 50x Solving 120x2 = 50x Solving for variable 'x'. Reorder the terms: -50x + 120x2 = 50x + -50x Combine like terms: 50x + -50x = 0 -50x + 120x2 = 0 Factor out the Greatest Common Factor (GCF), '10x'. 10x(-5 + 12x) = 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 '(-5 + 12x)' equal to zero and attempt to solve: Simplifying -5 + 12x = 0 Solving -5 + 12x = 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 + 12x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 12x = 0 + 5 12x = 0 + 5 Combine like terms: 0 + 5 = 5 12x = 5 Divide each side by '12'. x = 0.4166666667 Simplifying x = 0.4166666667Solution
x = {0, 0.4166666667}
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