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Simplifying 4x2 + -27x + -130 = 0 Reorder the terms: -130 + -27x + 4x2 = 0 Solving -130 + -27x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-13 + -4x)(10 + -1x) = 0Subproblem 1
Set the factor '(-13 + -4x)' equal to zero and attempt to solve: Simplifying -13 + -4x = 0 Solving -13 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -4x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -4x = 0 + 13 -4x = 0 + 13 Combine like terms: 0 + 13 = 13 -4x = 13 Divide each side by '-4'. x = -3.25 Simplifying x = -3.25Subproblem 2
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 = 10Solution
x = {-3.25, 10}
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