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Simplifying -8x2 = -7 + -26x Solving -8x2 = -7 + -26x Solving for variable 'x'. Reorder the terms: 7 + 26x + -8x2 = -7 + -26x + 7 + 26x Reorder the terms: 7 + 26x + -8x2 = -7 + 7 + -26x + 26x Combine like terms: -7 + 7 = 0 7 + 26x + -8x2 = 0 + -26x + 26x 7 + 26x + -8x2 = -26x + 26x Combine like terms: -26x + 26x = 0 7 + 26x + -8x2 = 0 Factor a trinomial. (7 + -2x)(1 + 4x) = 0Subproblem 1
Set the factor '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 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 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Subproblem 2
Set the factor '(1 + 4x)' equal to zero and attempt to solve: Simplifying 1 + 4x = 0 Solving 1 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25Solution
x = {3.5, -0.25}
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