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Simplifying 3x2 + -1(2x + -1)(2x + -1) = 3 Reorder the terms: 3x2 + -1(-1 + 2x)(2x + -1) = 3 Reorder the terms: 3x2 + -1(-1 + 2x)(-1 + 2x) = 3 Multiply (-1 + 2x) * (-1 + 2x) 3x2 + -1(-1(-1 + 2x) + 2x * (-1 + 2x)) = 3 3x2 + -1((-1 * -1 + 2x * -1) + 2x * (-1 + 2x)) = 3 3x2 + -1((1 + -2x) + 2x * (-1 + 2x)) = 3 3x2 + -1(1 + -2x + (-1 * 2x + 2x * 2x)) = 3 3x2 + -1(1 + -2x + (-2x + 4x2)) = 3 Combine like terms: -2x + -2x = -4x 3x2 + -1(1 + -4x + 4x2) = 3 3x2 + (1 * -1 + -4x * -1 + 4x2 * -1) = 3 3x2 + (-1 + 4x + -4x2) = 3 Reorder the terms: -1 + 4x + 3x2 + -4x2 = 3 Combine like terms: 3x2 + -4x2 = -1x2 -1 + 4x + -1x2 = 3 Solving -1 + 4x + -1x2 = 3 Solving for variable 'x'. Reorder the terms: -1 + -3 + 4x + -1x2 = 3 + -3 Combine like terms: -1 + -3 = -4 -4 + 4x + -1x2 = 3 + -3 Combine like terms: 3 + -3 = 0 -4 + 4x + -1x2 = 0 Factor a trinomial. (-2 + x)(2 + -1x) = 0Subproblem 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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