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Simplifying (75x + 50) * x = (25 + 70) * x Reorder the terms: (50 + 75x) * x = (25 + 70) * x Reorder the terms for easier multiplication: x(50 + 75x) = (25 + 70) * x (50 * x + 75x * x) = (25 + 70) * x (50x + 75x2) = (25 + 70) * x Combine like terms: 25 + 70 = 95 50x + 75x2 = (95) * x Solving 50x + 75x2 = 95x Solving for variable 'x'. Reorder the terms: 50x + -95x + 75x2 = 95x + -95x Combine like terms: 50x + -95x = -45x -45x + 75x2 = 95x + -95x Combine like terms: 95x + -95x = 0 -45x + 75x2 = 0 Factor out the Greatest Common Factor (GCF), '15x'. 15x(-3 + 5x) = 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 + 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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