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Simplifying -18x2 + 6400x + -396800 = 0 Reorder the terms: -396800 + 6400x + -18x2 = 0 Solving -396800 + 6400x + -18x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-198400 + 3200x + -9x2) = 0 Factor a trinomial. 2((-2480 + 9x)(80 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2480 + 9x)' equal to zero and attempt to solve: Simplifying -2480 + 9x = 0 Solving -2480 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '2480' to each side of the equation. -2480 + 2480 + 9x = 0 + 2480 Combine like terms: -2480 + 2480 = 0 0 + 9x = 0 + 2480 9x = 0 + 2480 Combine like terms: 0 + 2480 = 2480 9x = 2480 Divide each side by '9'. x = 275.5555556 Simplifying x = 275.5555556Subproblem 2
Set the factor '(80 + -1x)' equal to zero and attempt to solve: Simplifying 80 + -1x = 0 Solving 80 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + -1x = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -1x = 0 + -80 -1x = 0 + -80 Combine like terms: 0 + -80 = -80 -1x = -80 Divide each side by '-1'. x = 80 Simplifying x = 80Solution
x = {275.5555556, 80}
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