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Simplifying 5x2 + -5x + -2 = 4x + -6 Reorder the terms: -2 + -5x + 5x2 = 4x + -6 Reorder the terms: -2 + -5x + 5x2 = -6 + 4x Solving -2 + -5x + 5x2 = -6 + 4x Solving for variable 'x'. Reorder the terms: -2 + 6 + -5x + -4x + 5x2 = -6 + 4x + 6 + -4x Combine like terms: -2 + 6 = 4 4 + -5x + -4x + 5x2 = -6 + 4x + 6 + -4x Combine like terms: -5x + -4x = -9x 4 + -9x + 5x2 = -6 + 4x + 6 + -4x Reorder the terms: 4 + -9x + 5x2 = -6 + 6 + 4x + -4x Combine like terms: -6 + 6 = 0 4 + -9x + 5x2 = 0 + 4x + -4x 4 + -9x + 5x2 = 4x + -4x Combine like terms: 4x + -4x = 0 4 + -9x + 5x2 = 0 Factor a trinomial. (4 + -5x)(1 + -1x) = 0Subproblem 1
Set the factor '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 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 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0.8, 1}
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