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Simplifying 61800 = 6400x + -18x2 + -400 Reorder the terms: 61800 = -400 + 6400x + -18x2 Solving 61800 = -400 + 6400x + -18x2 Solving for variable 'x'. Combine like terms: 61800 + 400 = 62200 62200 + -6400x + 18x2 = -400 + 6400x + -18x2 + 400 + -6400x + 18x2 Reorder the terms: 62200 + -6400x + 18x2 = -400 + 400 + 6400x + -6400x + -18x2 + 18x2 Combine like terms: -400 + 400 = 0 62200 + -6400x + 18x2 = 0 + 6400x + -6400x + -18x2 + 18x2 62200 + -6400x + 18x2 = 6400x + -6400x + -18x2 + 18x2 Combine like terms: 6400x + -6400x = 0 62200 + -6400x + 18x2 = 0 + -18x2 + 18x2 62200 + -6400x + 18x2 = -18x2 + 18x2 Combine like terms: -18x2 + 18x2 = 0 62200 + -6400x + 18x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(31100 + -3200x + 9x2) = 0 Factor a trinomial. 2((10 + -1x)(3110 + -9x)) = 0 Ignore the factor 2.Subproblem 1
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 = 10Subproblem 2
Set the factor '(3110 + -9x)' equal to zero and attempt to solve: Simplifying 3110 + -9x = 0 Solving 3110 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3110' to each side of the equation. 3110 + -3110 + -9x = 0 + -3110 Combine like terms: 3110 + -3110 = 0 0 + -9x = 0 + -3110 -9x = 0 + -3110 Combine like terms: 0 + -3110 = -3110 -9x = -3110 Divide each side by '-9'. x = 345.5555556 Simplifying x = 345.5555556Solution
x = {10, 345.5555556}
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