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Simplifying 143x2 + -1440x + 3600 = 0 Reorder the terms: 3600 + -1440x + 143x2 = 0 Solving 3600 + -1440x + 143x2 = 0 Solving for variable 'x'. Factor a trinomial. (60 + -13x)(60 + -11x) = 0Subproblem 1
Set the factor '(60 + -13x)' equal to zero and attempt to solve: Simplifying 60 + -13x = 0 Solving 60 + -13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -13x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -13x = 0 + -60 -13x = 0 + -60 Combine like terms: 0 + -60 = -60 -13x = -60 Divide each side by '-13'. x = 4.615384615 Simplifying x = 4.615384615Subproblem 2
Set the factor '(60 + -11x)' equal to zero and attempt to solve: Simplifying 60 + -11x = 0 Solving 60 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -11x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -11x = 0 + -60 -11x = 0 + -60 Combine like terms: 0 + -60 = -60 -11x = -60 Divide each side by '-11'. x = 5.454545455 Simplifying x = 5.454545455Solution
x = {4.615384615, 5.454545455}
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