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Simplifying 4000 + -520x + 12x2 = 0 Solving 4000 + -520x + 12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(1000 + -130x + 3x2) = 0 Factor a trinomial. 4((10 + -1x)(100 + -3x)) = 0 Ignore the factor 4.Subproblem 1
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 = 10Subproblem 2
Set the factor '(100 + -3x)' equal to zero and attempt to solve: Simplifying 100 + -3x = 0 Solving 100 + -3x = 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 + -3x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -3x = 0 + -100 -3x = 0 + -100 Combine like terms: 0 + -100 = -100 -3x = -100 Divide each side by '-3'. x = 33.33333333 Simplifying x = 33.33333333Solution
x = {10, 33.33333333}
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