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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((80 + -1x)(2480 + -9x)) = 0 Ignore the factor 2.Subproblem 1
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 = 80Subproblem 2
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 = 275.5555556Solution
x = {80, 275.5555556}
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