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Simplifying -13x2 + 1430x + -36400 = 0 Reorder the terms: -36400 + 1430x + -13x2 = 0 Solving -36400 + 1430x + -13x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '13'. 13(-2800 + 110x + -1x2) = 0 Factor a trinomial. 13((-70 + x)(40 + -1x)) = 0 Ignore the factor 13.Subproblem 1
Set the factor '(-70 + x)' equal to zero and attempt to solve: Simplifying -70 + x = 0 Solving -70 + x = 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 + x = 0 + 70 Combine like terms: -70 + 70 = 0 0 + x = 0 + 70 x = 0 + 70 Combine like terms: 0 + 70 = 70 x = 70 Simplifying x = 70Subproblem 2
Set the factor '(40 + -1x)' equal to zero and attempt to solve: Simplifying 40 + -1x = 0 Solving 40 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = 0 + -40 -1x = 0 + -40 Combine like terms: 0 + -40 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40Solution
x = {70, 40}
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