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Simplifying 6x2 = 4x + 2 Reorder the terms: 6x2 = 2 + 4x Solving 6x2 = 2 + 4x Solving for variable 'x'. Reorder the terms: -2 + -4x + 6x2 = 2 + 4x + -2 + -4x Reorder the terms: -2 + -4x + 6x2 = 2 + -2 + 4x + -4x Combine like terms: 2 + -2 = 0 -2 + -4x + 6x2 = 0 + 4x + -4x -2 + -4x + 6x2 = 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -4x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + -2x + 3x2) = 0 Factor a trinomial. 2((-1 + -3x)(1 + -1x)) = 0 Ignore the factor 2.Subproblem 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 + -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 = {-0.3333333333, 1}
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