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Simplifying 2x + -2 + -1x = x(2x + -3) + 6 Reorder the terms: -2 + 2x + -1x = x(2x + -3) + 6 Combine like terms: 2x + -1x = 1x -2 + 1x = x(2x + -3) + 6 Reorder the terms: -2 + 1x = x(-3 + 2x) + 6 -2 + 1x = (-3 * x + 2x * x) + 6 -2 + 1x = (-3x + 2x2) + 6 Reorder the terms: -2 + 1x = 6 + -3x + 2x2 Solving -2 + 1x = 6 + -3x + 2x2 Solving for variable 'x'. Reorder the terms: -2 + -6 + 1x + 3x + -2x2 = 6 + -3x + 2x2 + -6 + 3x + -2x2 Combine like terms: -2 + -6 = -8 -8 + 1x + 3x + -2x2 = 6 + -3x + 2x2 + -6 + 3x + -2x2 Combine like terms: 1x + 3x = 4x -8 + 4x + -2x2 = 6 + -3x + 2x2 + -6 + 3x + -2x2 Reorder the terms: -8 + 4x + -2x2 = 6 + -6 + -3x + 3x + 2x2 + -2x2 Combine like terms: 6 + -6 = 0 -8 + 4x + -2x2 = 0 + -3x + 3x + 2x2 + -2x2 -8 + 4x + -2x2 = -3x + 3x + 2x2 + -2x2 Combine like terms: -3x + 3x = 0 -8 + 4x + -2x2 = 0 + 2x2 + -2x2 -8 + 4x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -8 + 4x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + 2x + -1x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + 2x + -1x2)' equal to zero and attempt to solve: Simplifying -4 + 2x + -1x2 = 0 Solving -4 + 2x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 4 + -2x + x2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -2x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + -2x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2x + x2 = 0 + -4 -2x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -2x + x2 = -4 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -4 + 1 Reorder the terms: 1 + -2x + x2 = -4 + 1 Combine like terms: -4 + 1 = -3 1 + -2x + x2 = -3 Factor a perfect square on the left side: (x + -1)(x + -1) = -3 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. The solution to this equation could not be determined.
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