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Simplifying 4x2 + -840x + 21600 = 0 Reorder the terms: 21600 + -840x + 4x2 = 0 Solving 21600 + -840x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(5400 + -210x + x2) = 0 Factor a trinomial. 4((30 + -1x)(180 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(30 + -1x)' equal to zero and attempt to solve: Simplifying 30 + -1x = 0 Solving 30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 0 + -30 -1x = 0 + -30 Combine like terms: 0 + -30 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30Subproblem 2
Set the factor '(180 + -1x)' equal to zero and attempt to solve: Simplifying 180 + -1x = 0 Solving 180 + -1x = 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 + -1x = 0 + -180 Combine like terms: 180 + -180 = 0 0 + -1x = 0 + -180 -1x = 0 + -180 Combine like terms: 0 + -180 = -180 -1x = -180 Divide each side by '-1'. x = 180 Simplifying x = 180Solution
x = {30, 180}
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