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Simplifying 6x2 + -5 = x + -4 Reorder the terms: -5 + 6x2 = x + -4 Reorder the terms: -5 + 6x2 = -4 + x Solving -5 + 6x2 = -4 + x Solving for variable 'x'. Reorder the terms: -5 + 4 + -1x + 6x2 = -4 + x + 4 + -1x Combine like terms: -5 + 4 = -1 -1 + -1x + 6x2 = -4 + x + 4 + -1x Reorder the terms: -1 + -1x + 6x2 = -4 + 4 + x + -1x Combine like terms: -4 + 4 = 0 -1 + -1x + 6x2 = 0 + x + -1x -1 + -1x + 6x2 = x + -1x Combine like terms: x + -1x = 0 -1 + -1x + 6x2 = 0 Factor a trinomial. (-1 + -3x)(1 + -2x) = 0Subproblem 1
Set the factor '(-1 + -3x)' equal to zero and attempt to solve: Simplifying -1 + -3x = 0 Solving -1 + -3x = 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 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {-0.3333333333, 0.5}
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