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Simplifying 10x2 = 75x Solving 10x2 = 75x Solving for variable 'x'. Reorder the terms: -75x + 10x2 = 75x + -75x Combine like terms: 75x + -75x = 0 -75x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(-15 + 2x) = 0 Ignore the factor 5.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 '(-15 + 2x)' equal to zero and attempt to solve: Simplifying -15 + 2x = 0 Solving -15 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 2x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = 0 + 15 2x = 0 + 15 Combine like terms: 0 + 15 = 15 2x = 15 Divide each side by '2'. x = 7.5 Simplifying x = 7.5Solution
x = {0, 7.5}
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