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Simplifying 6x + -5 = 2x2 + -1x Reorder the terms: -5 + 6x = 2x2 + -1x Reorder the terms: -5 + 6x = -1x + 2x2 Solving -5 + 6x = -1x + 2x2 Solving for variable 'x'. Combine like terms: 6x + x = 7x -5 + 7x + -2x2 = -1x + 2x2 + x + -2x2 Reorder the terms: -5 + 7x + -2x2 = -1x + x + 2x2 + -2x2 Combine like terms: -1x + x = 0 -5 + 7x + -2x2 = 0 + 2x2 + -2x2 -5 + 7x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -5 + 7x + -2x2 = 0 Factor a trinomial. (-5 + 2x)(1 + -1x) = 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 + -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 = {2.5, 1}
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