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Simplifying 5x2 + -2x + 1 = 6 + -1x + -1x2 Reorder the terms: 1 + -2x + 5x2 = 6 + -1x + -1x2 Solving 1 + -2x + 5x2 = 6 + -1x + -1x2 Solving for variable 'x'. Reorder the terms: 1 + -6 + -2x + x + 5x2 + x2 = 6 + -1x + -1x2 + -6 + x + x2 Combine like terms: 1 + -6 = -5 -5 + -2x + x + 5x2 + x2 = 6 + -1x + -1x2 + -6 + x + x2 Combine like terms: -2x + x = -1x -5 + -1x + 5x2 + x2 = 6 + -1x + -1x2 + -6 + x + x2 Combine like terms: 5x2 + x2 = 6x2 -5 + -1x + 6x2 = 6 + -1x + -1x2 + -6 + x + x2 Reorder the terms: -5 + -1x + 6x2 = 6 + -6 + -1x + x + -1x2 + x2 Combine like terms: 6 + -6 = 0 -5 + -1x + 6x2 = 0 + -1x + x + -1x2 + x2 -5 + -1x + 6x2 = -1x + x + -1x2 + x2 Combine like terms: -1x + x = 0 -5 + -1x + 6x2 = 0 + -1x2 + x2 -5 + -1x + 6x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -5 + -1x + 6x2 = 0 Factor a trinomial. (-5 + -6x)(1 + -1x) = 0Subproblem 1
Set the factor '(-5 + -6x)' equal to zero and attempt to solve: Simplifying -5 + -6x = 0 Solving -5 + -6x = 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 + -6x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = 0 + 5 -6x = 0 + 5 Combine like terms: 0 + 5 = 5 -6x = 5 Divide each side by '-6'. x = -0.8333333333 Simplifying x = -0.8333333333Subproblem 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 = {-0.8333333333, 1}
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