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