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Simplifying 0 = 8x2 + -3x + -2x2 + x Reorder the terms: 0 = -3x + x + 8x2 + -2x2 Combine like terms: -3x + x = -2x 0 = -2x + 8x2 + -2x2 Combine like terms: 8x2 + -2x2 = 6x2 0 = -2x + 6x2 Solving 0 = -2x + 6x2 Solving for variable 'x'. Remove the zero: 2x + -6x2 = -2x + 6x2 + 2x + -6x2 Reorder the terms: 2x + -6x2 = -2x + 2x + 6x2 + -6x2 Combine like terms: -2x + 2x = 0 2x + -6x2 = 0 + 6x2 + -6x2 2x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 2x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(1 + -3x) = 0 Ignore the factor 2.Subproblem 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 '(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 = 0.3333333333Solution
x = {0, 0.3333333333}
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