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Simplifying 8x2 + -18x + -5 = 3x2 + 5x + 5 Reorder the terms: -5 + -18x + 8x2 = 3x2 + 5x + 5 Reorder the terms: -5 + -18x + 8x2 = 5 + 5x + 3x2 Solving -5 + -18x + 8x2 = 5 + 5x + 3x2 Solving for variable 'x'. Reorder the terms: -5 + -5 + -18x + -5x + 8x2 + -3x2 = 5 + 5x + 3x2 + -5 + -5x + -3x2 Combine like terms: -5 + -5 = -10 -10 + -18x + -5x + 8x2 + -3x2 = 5 + 5x + 3x2 + -5 + -5x + -3x2 Combine like terms: -18x + -5x = -23x -10 + -23x + 8x2 + -3x2 = 5 + 5x + 3x2 + -5 + -5x + -3x2 Combine like terms: 8x2 + -3x2 = 5x2 -10 + -23x + 5x2 = 5 + 5x + 3x2 + -5 + -5x + -3x2 Reorder the terms: -10 + -23x + 5x2 = 5 + -5 + 5x + -5x + 3x2 + -3x2 Combine like terms: 5 + -5 = 0 -10 + -23x + 5x2 = 0 + 5x + -5x + 3x2 + -3x2 -10 + -23x + 5x2 = 5x + -5x + 3x2 + -3x2 Combine like terms: 5x + -5x = 0 -10 + -23x + 5x2 = 0 + 3x2 + -3x2 -10 + -23x + 5x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -10 + -23x + 5x2 = 0 Factor a trinomial. (-2 + -5x)(5 + -1x) = 0Subproblem 1
Set the factor '(-2 + -5x)' equal to zero and attempt to solve: Simplifying -2 + -5x = 0 Solving -2 + -5x = 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 + -5x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 0 + 2 -5x = 0 + 2 Combine like terms: 0 + 2 = 2 -5x = 2 Divide each side by '-5'. x = -0.4 Simplifying x = -0.4Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-0.4, 5}
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