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Simplifying -5000 + 550x + -5x2 = 0 Solving -5000 + 550x + -5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(-1000 + 110x + -1x2) = 0 Factor a trinomial. 5((-100 + x)(10 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-100 + x)' equal to zero and attempt to solve: Simplifying -100 + x = 0 Solving -100 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + x = 0 + 100 Combine like terms: -100 + 100 = 0 0 + x = 0 + 100 x = 0 + 100 Combine like terms: 0 + 100 = 100 x = 100 Simplifying x = 100Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {100, 10}
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