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Simplifying 2x(3x + 4) = 6x + 8 Reorder the terms: 2x(4 + 3x) = 6x + 8 (4 * 2x + 3x * 2x) = 6x + 8 (8x + 6x2) = 6x + 8 Reorder the terms: 8x + 6x2 = 8 + 6x Solving 8x + 6x2 = 8 + 6x Solving for variable 'x'. Reorder the terms: -8 + 8x + -6x + 6x2 = 8 + 6x + -8 + -6x Combine like terms: 8x + -6x = 2x -8 + 2x + 6x2 = 8 + 6x + -8 + -6x Reorder the terms: -8 + 2x + 6x2 = 8 + -8 + 6x + -6x Combine like terms: 8 + -8 = 0 -8 + 2x + 6x2 = 0 + 6x + -6x -8 + 2x + 6x2 = 6x + -6x Combine like terms: 6x + -6x = 0 -8 + 2x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + x + 3x2) = 0 Factor a trinomial. 2((-4 + -3x)(1 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve: Simplifying -4 + -3x = 0 Solving -4 + -3x = 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 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333Subproblem 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 = {-1.333333333, 1}
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