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Simplifying 6x2 = 150x Solving 6x2 = 150x Solving for variable 'x'. Reorder the terms: -150x + 6x2 = 150x + -150x Combine like terms: 150x + -150x = 0 -150x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '6x'. 6x(-25 + x) = 0 Ignore the factor 6.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 '(-25 + x)' equal to zero and attempt to solve: Simplifying -25 + x = 0 Solving -25 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + x = 0 + 25 x = 0 + 25 Combine like terms: 0 + 25 = 25 x = 25 Simplifying x = 25Solution
x = {0, 25}
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