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Simplifying 8x2 = 5 + -18x Solving 8x2 = 5 + -18x Solving for variable 'x'. Reorder the terms: -5 + 18x + 8x2 = 5 + -18x + -5 + 18x Reorder the terms: -5 + 18x + 8x2 = 5 + -5 + -18x + 18x Combine like terms: 5 + -5 = 0 -5 + 18x + 8x2 = 0 + -18x + 18x -5 + 18x + 8x2 = -18x + 18x Combine like terms: -18x + 18x = 0 -5 + 18x + 8x2 = 0 Factor a trinomial. (-5 + -2x)(1 + -4x) = 0Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve: Simplifying -5 + -2x = 0 Solving -5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 0 + 5 -2x = 0 + 5 Combine like terms: 0 + 5 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5Subproblem 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 = {-2.5, 0.25}
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