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Simplifying 15x2 + -26x + -3 = 5 + 8x2 Reorder the terms: -3 + -26x + 15x2 = 5 + 8x2 Solving -3 + -26x + 15x2 = 5 + 8x2 Solving for variable 'x'. Reorder the terms: -3 + -5 + -26x + 15x2 + -8x2 = 5 + 8x2 + -5 + -8x2 Combine like terms: -3 + -5 = -8 -8 + -26x + 15x2 + -8x2 = 5 + 8x2 + -5 + -8x2 Combine like terms: 15x2 + -8x2 = 7x2 -8 + -26x + 7x2 = 5 + 8x2 + -5 + -8x2 Reorder the terms: -8 + -26x + 7x2 = 5 + -5 + 8x2 + -8x2 Combine like terms: 5 + -5 = 0 -8 + -26x + 7x2 = 0 + 8x2 + -8x2 -8 + -26x + 7x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -8 + -26x + 7x2 = 0 Factor a trinomial. (-2 + -7x)(4 + -1x) = 0Subproblem 1
Set the factor '(-2 + -7x)' equal to zero and attempt to solve: Simplifying -2 + -7x = 0 Solving -2 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -7x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 0 + 2 -7x = 0 + 2 Combine like terms: 0 + 2 = 2 -7x = 2 Divide each side by '-7'. x = -0.2857142857 Simplifying x = -0.2857142857Subproblem 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 = {-0.2857142857, 4}
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