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Simplifying 7x2 = 26x + 8 Reorder the terms: 7x2 = 8 + 26x Solving 7x2 = 8 + 26x Solving for variable 'x'. Reorder the terms: -8 + -26x + 7x2 = 8 + 26x + -8 + -26x Reorder the terms: -8 + -26x + 7x2 = 8 + -8 + 26x + -26x Combine like terms: 8 + -8 = 0 -8 + -26x + 7x2 = 0 + 26x + -26x -8 + -26x + 7x2 = 26x + -26x Combine like terms: 26x + -26x = 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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