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Simplifying (2x + -1)(-1x2 + 2x + -3) = 3 Reorder the terms: (-1 + 2x)(-1x2 + 2x + -3) = 3 Reorder the terms: (-1 + 2x)(-3 + 2x + -1x2) = 3 Multiply (-1 + 2x) * (-3 + 2x + -1x2) (-1(-3 + 2x + -1x2) + 2x * (-3 + 2x + -1x2)) = 3 ((-3 * -1 + 2x * -1 + -1x2 * -1) + 2x * (-3 + 2x + -1x2)) = 3 ((3 + -2x + 1x2) + 2x * (-3 + 2x + -1x2)) = 3 (3 + -2x + 1x2 + (-3 * 2x + 2x * 2x + -1x2 * 2x)) = 3 (3 + -2x + 1x2 + (-6x + 4x2 + -2x3)) = 3 Reorder the terms: (3 + -2x + -6x + 1x2 + 4x2 + -2x3) = 3 Combine like terms: -2x + -6x = -8x (3 + -8x + 1x2 + 4x2 + -2x3) = 3 Combine like terms: 1x2 + 4x2 = 5x2 (3 + -8x + 5x2 + -2x3) = 3 Add '-3' to each side of the equation. 3 + -8x + 5x2 + -3 + -2x3 = 3 + -3 Reorder the terms: 3 + -3 + -8x + 5x2 + -2x3 = 3 + -3 Combine like terms: 3 + -3 = 0 0 + -8x + 5x2 + -2x3 = 3 + -3 -8x + 5x2 + -2x3 = 3 + -3 Combine like terms: 3 + -3 = 0 -8x + 5x2 + -2x3 = 0 Solving -8x + 5x2 + -2x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-8 + 5x + -2x2) = 0Subproblem 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 '(-8 + 5x + -2x2)' equal to zero and attempt to solve: Simplifying -8 + 5x + -2x2 = 0 Solving -8 + 5x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 4 + -2.5x + x2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -2.5x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + -2.5x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2.5x + x2 = 0 + -4 -2.5x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -2.5x + x2 = -4 The x term is -2.5x. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5x + 1.5625 + x2 = -4 + 1.5625 Reorder the terms: 1.5625 + -2.5x + x2 = -4 + 1.5625 Combine like terms: -4 + 1.5625 = -2.4375 1.5625 + -2.5x + x2 = -2.4375 Factor a perfect square on the left side: (x + -1.25)(x + -1.25) = -2.4375 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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