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Simplifying 8x2 = 26x + 357 Reorder the terms: 8x2 = 357 + 26x Solving 8x2 = 357 + 26x Solving for variable 'x'. Reorder the terms: -357 + -26x + 8x2 = 357 + 26x + -357 + -26x Reorder the terms: -357 + -26x + 8x2 = 357 + -357 + 26x + -26x Combine like terms: 357 + -357 = 0 -357 + -26x + 8x2 = 0 + 26x + -26x -357 + -26x + 8x2 = 26x + -26x Combine like terms: 26x + -26x = 0 -357 + -26x + 8x2 = 0 Factor a trinomial. (-21 + -4x)(17 + -2x) = 0Subproblem 1
Set the factor '(-21 + -4x)' equal to zero and attempt to solve: Simplifying -21 + -4x = 0 Solving -21 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -4x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -4x = 0 + 21 -4x = 0 + 21 Combine like terms: 0 + 21 = 21 -4x = 21 Divide each side by '-4'. x = -5.25 Simplifying x = -5.25Subproblem 2
Set the factor '(17 + -2x)' equal to zero and attempt to solve: Simplifying 17 + -2x = 0 Solving 17 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -2x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = 0 + -17 -2x = 0 + -17 Combine like terms: 0 + -17 = -17 -2x = -17 Divide each side by '-2'. x = 8.5 Simplifying x = 8.5Solution
x = {-5.25, 8.5}
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