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Simplifying 5x2 + 50x = 75exact Reorder the terms: 50x + 5x2 = 75exact Solving 50x + 5x2 = 75acetx Solving for variable 'x'. Reorder the terms: -75acetx + 50x + 5x2 = 75acetx + -75acetx Combine like terms: 75acetx + -75acetx = 0 -75acetx + 50x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(-15acet + 10 + x) = 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 '(-15acet + 10 + x)' equal to zero and attempt to solve: Simplifying -15acet + 10 + x = 0 Reorder the terms: 10 + -15acet + x = 0 Solving 10 + -15acet + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -15acet + -10 + x = 0 + -10 Reorder the terms: 10 + -10 + -15acet + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -15acet + x = 0 + -10 -15acet + x = 0 + -10 Combine like terms: 0 + -10 = -10 -15acet + x = -10 Add '15acet' to each side of the equation. -15acet + 15acet + x = -10 + 15acet Combine like terms: -15acet + 15acet = 0 0 + x = -10 + 15acet x = -10 + 15acet Simplifying x = -10 + 15acetSolution
x = {0, -10 + 15acet}
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