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Simplifying 13x2 + -7100x + -420000 = 0 Reorder the terms: -420000 + -7100x + 13x2 = 0 Solving -420000 + -7100x + 13x2 = 0 Solving for variable 'x'. Factor a trinomial. (-700 + -13x)(600 + -1x) = 0Subproblem 1
Set the factor '(-700 + -13x)' equal to zero and attempt to solve: Simplifying -700 + -13x = 0 Solving -700 + -13x = 0 Move all terms containing x to the left, all other terms to the right. Add '700' to each side of the equation. -700 + 700 + -13x = 0 + 700 Combine like terms: -700 + 700 = 0 0 + -13x = 0 + 700 -13x = 0 + 700 Combine like terms: 0 + 700 = 700 -13x = 700 Divide each side by '-13'. x = -53.84615385 Simplifying x = -53.84615385Subproblem 2
Set the factor '(600 + -1x)' equal to zero and attempt to solve: Simplifying 600 + -1x = 0 Solving 600 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-600' to each side of the equation. 600 + -600 + -1x = 0 + -600 Combine like terms: 600 + -600 = 0 0 + -1x = 0 + -600 -1x = 0 + -600 Combine like terms: 0 + -600 = -600 -1x = -600 Divide each side by '-1'. x = 600 Simplifying x = 600Solution
x = {-53.84615385, 600}
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