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Simplifying 1 + -3(2 + -1x) * x = 1 + 2x Reorder the terms for easier multiplication: 1 + -3x(2 + -1x) = 1 + 2x 1 + (2 * -3x + -1x * -3x) = 1 + 2x 1 + (-6x + 3x2) = 1 + 2x Add '-1' to each side of the equation. 1 + -6x + -1 + 3x2 = 1 + -1 + 2x Reorder the terms: 1 + -1 + -6x + 3x2 = 1 + -1 + 2x Combine like terms: 1 + -1 = 0 0 + -6x + 3x2 = 1 + -1 + 2x -6x + 3x2 = 1 + -1 + 2x Combine like terms: 1 + -1 = 0 -6x + 3x2 = 0 + 2x -6x + 3x2 = 2x Solving -6x + 3x2 = 2x Solving for variable 'x'. Reorder the terms: -6x + -2x + 3x2 = 2x + -2x Combine like terms: -6x + -2x = -8x -8x + 3x2 = 2x + -2x Combine like terms: 2x + -2x = 0 -8x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-8 + 3x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-8 + 3x)' equal to zero and attempt to solve: Simplifying -8 + 3x = 0 Solving -8 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 3x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 0 + 8 3x = 0 + 8 Combine like terms: 0 + 8 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667Solution
x = {0, 2.666666667}
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