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Simplifying 19x2 + -128x + -119 = 7 + -2x2 + x Reorder the terms: -119 + -128x + 19x2 = 7 + -2x2 + x Reorder the terms: -119 + -128x + 19x2 = 7 + x + -2x2 Solving -119 + -128x + 19x2 = 7 + x + -2x2 Solving for variable 'x'. Reorder the terms: -119 + -7 + -128x + -1x + 19x2 + 2x2 = 7 + x + -2x2 + -7 + -1x + 2x2 Combine like terms: -119 + -7 = -126 -126 + -128x + -1x + 19x2 + 2x2 = 7 + x + -2x2 + -7 + -1x + 2x2 Combine like terms: -128x + -1x = -129x -126 + -129x + 19x2 + 2x2 = 7 + x + -2x2 + -7 + -1x + 2x2 Combine like terms: 19x2 + 2x2 = 21x2 -126 + -129x + 21x2 = 7 + x + -2x2 + -7 + -1x + 2x2 Reorder the terms: -126 + -129x + 21x2 = 7 + -7 + x + -1x + -2x2 + 2x2 Combine like terms: 7 + -7 = 0 -126 + -129x + 21x2 = 0 + x + -1x + -2x2 + 2x2 -126 + -129x + 21x2 = x + -1x + -2x2 + 2x2 Combine like terms: x + -1x = 0 -126 + -129x + 21x2 = 0 + -2x2 + 2x2 -126 + -129x + 21x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -126 + -129x + 21x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-42 + -43x + 7x2) = 0 Factor a trinomial. 3((-6 + -7x)(7 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-6 + -7x)' equal to zero and attempt to solve: Simplifying -6 + -7x = 0 Solving -6 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -7x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = 0 + 6 -7x = 0 + 6 Combine like terms: 0 + 6 = 6 -7x = 6 Divide each side by '-7'. x = -0.8571428571 Simplifying x = -0.8571428571Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {-0.8571428571, 7}
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