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Simplifying 18x2 + -6400x + 227200 = 0 Reorder the terms: 227200 + -6400x + 18x2 = 0 Solving 227200 + -6400x + 18x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(113600 + -3200x + 9x2) = 0 Factor a trinomial. 2((40 + -1x)(2840 + -9x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(40 + -1x)' equal to zero and attempt to solve: Simplifying 40 + -1x = 0 Solving 40 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = 0 + -40 -1x = 0 + -40 Combine like terms: 0 + -40 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40Subproblem 2
Set the factor '(2840 + -9x)' equal to zero and attempt to solve: Simplifying 2840 + -9x = 0 Solving 2840 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2840' to each side of the equation. 2840 + -2840 + -9x = 0 + -2840 Combine like terms: 2840 + -2840 = 0 0 + -9x = 0 + -2840 -9x = 0 + -2840 Combine like terms: 0 + -2840 = -2840 -9x = -2840 Divide each side by '-9'. x = 315.5555556 Simplifying x = 315.5555556Solution
x = {40, 315.5555556}
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