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Simplifying 13x2 + 18x + -280 = 0 Reorder the terms: -280 + 18x + 13x2 = 0 Solving -280 + 18x + 13x2 = 0 Solving for variable 'x'. Factor a trinomial. (-70 + -13x)(4 + -1x) = 0Subproblem 1
Set the factor '(-70 + -13x)' equal to zero and attempt to solve: Simplifying -70 + -13x = 0 Solving -70 + -13x = 0 Move all terms containing x to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 70 + -13x = 0 + 70 Combine like terms: -70 + 70 = 0 0 + -13x = 0 + 70 -13x = 0 + 70 Combine like terms: 0 + 70 = 70 -13x = 70 Divide each side by '-13'. x = -5.384615385 Simplifying x = -5.384615385Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-5.384615385, 4}
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