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Simplifying 3(x2 + -2x + 1) + 6x2 + -6x = 0 Reorder the terms: 3(1 + -2x + x2) + 6x2 + -6x = 0 (1 * 3 + -2x * 3 + x2 * 3) + 6x2 + -6x = 0 (3 + -6x + 3x2) + 6x2 + -6x = 0 Reorder the terms: 3 + -6x + -6x + 3x2 + 6x2 = 0 Combine like terms: -6x + -6x = -12x 3 + -12x + 3x2 + 6x2 = 0 Combine like terms: 3x2 + 6x2 = 9x2 3 + -12x + 9x2 = 0 Solving 3 + -12x + 9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(1 + -4x + 3x2) = 0 Factor a trinomial. 3((1 + -3x)(1 + -1x)) = 0 Ignore the factor 3.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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