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Simplifying (3x2 + x + 1) + -1(2x2 + -6 + -5) = x2 + 4x + 6 Reorder the terms: (1 + x + 3x2) + -1(2x2 + -6 + -5) = x2 + 4x + 6 Remove parenthesis around (1 + x + 3x2) 1 + x + 3x2 + -1(2x2 + -6 + -5) = x2 + 4x + 6 Reorder the terms: 1 + x + 3x2 + -1(-6 + -5 + 2x2) = x2 + 4x + 6 Combine like terms: -6 + -5 = -11 1 + x + 3x2 + -1(-11 + 2x2) = x2 + 4x + 6 1 + x + 3x2 + (-11 * -1 + 2x2 * -1) = x2 + 4x + 6 1 + x + 3x2 + (11 + -2x2) = x2 + 4x + 6 Reorder the terms: 1 + 11 + x + 3x2 + -2x2 = x2 + 4x + 6 Combine like terms: 1 + 11 = 12 12 + x + 3x2 + -2x2 = x2 + 4x + 6 Combine like terms: 3x2 + -2x2 = 1x2 12 + x + 1x2 = x2 + 4x + 6 Reorder the terms: 12 + x + 1x2 = 6 + 4x + x2 Solving 12 + x + 1x2 = 6 + 4x + x2 Solving for variable 'x'. Reorder the terms: 12 + -6 + x + -4x + 1x2 + -1x2 = 6 + 4x + x2 + -6 + -4x + -1x2 Combine like terms: 12 + -6 = 6 6 + x + -4x + 1x2 + -1x2 = 6 + 4x + x2 + -6 + -4x + -1x2 Combine like terms: x + -4x = -3x 6 + -3x + 1x2 + -1x2 = 6 + 4x + x2 + -6 + -4x + -1x2 Combine like terms: 1x2 + -1x2 = 0 6 + -3x + 0 = 6 + 4x + x2 + -6 + -4x + -1x2 6 + -3x = 6 + 4x + x2 + -6 + -4x + -1x2 Reorder the terms: 6 + -3x = 6 + -6 + 4x + -4x + x2 + -1x2 Combine like terms: 6 + -6 = 0 6 + -3x = 0 + 4x + -4x + x2 + -1x2 6 + -3x = 4x + -4x + x2 + -1x2 Combine like terms: 4x + -4x = 0 6 + -3x = 0 + x2 + -1x2 6 + -3x = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 6 + -3x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(2 + -1x) = 0 Ignore the factor 3.Subproblem 1
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}
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