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Simplifying 15x2 = 325x Solving 15x2 = 325x Solving for variable 'x'. Reorder the terms: -325x + 15x2 = 325x + -325x Combine like terms: 325x + -325x = 0 -325x + 15x2 = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(-65 + 3x) = 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 '(-65 + 3x)' equal to zero and attempt to solve: Simplifying -65 + 3x = 0 Solving -65 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + 3x = 0 + 65 Combine like terms: -65 + 65 = 0 0 + 3x = 0 + 65 3x = 0 + 65 Combine like terms: 0 + 65 = 65 3x = 65 Divide each side by '3'. x = 21.66666667 Simplifying x = 21.66666667Solution
x = {0, 21.66666667}
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