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Simplifying -3x2 + 570x + -5400 = 0 Reorder the terms: -5400 + 570x + -3x2 = 0 Solving -5400 + 570x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-1800 + 190x + -1x2) = 0 Factor a trinomial. 3((-180 + x)(10 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-180 + x)' equal to zero and attempt to solve: Simplifying -180 + x = 0 Solving -180 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '180' to each side of the equation. -180 + 180 + x = 0 + 180 Combine like terms: -180 + 180 = 0 0 + x = 0 + 180 x = 0 + 180 Combine like terms: 0 + 180 = 180 x = 180 Simplifying x = 180Subproblem 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 = {180, 10}
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