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Simplifying 0 = -2(2x2 + -1x + 4) Reorder the terms: 0 = -2(4 + -1x + 2x2) 0 = (4 * -2 + -1x * -2 + 2x2 * -2) 0 = (-8 + 2x + -4x2) Solving 0 = -8 + 2x + -4x2 Solving for variable 'x'. Combine like terms: 0 + 8 = 8 8 + -2x + 4x2 = -8 + 2x + -4x2 + 8 + -2x + 4x2 Reorder the terms: 8 + -2x + 4x2 = -8 + 8 + 2x + -2x + -4x2 + 4x2 Combine like terms: -8 + 8 = 0 8 + -2x + 4x2 = 0 + 2x + -2x + -4x2 + 4x2 8 + -2x + 4x2 = 2x + -2x + -4x2 + 4x2 Combine like terms: 2x + -2x = 0 8 + -2x + 4x2 = 0 + -4x2 + 4x2 8 + -2x + 4x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 8 + -2x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + -1x + 2x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + -1x + 2x2)' equal to zero and attempt to solve: Simplifying 4 + -1x + 2x2 = 0 Solving 4 + -1x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 2 + -0.5x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -0.5x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -0.5x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -0.5x + x2 = 0 + -2 -0.5x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -0.5x + x2 = -2 The x term is -0.5x. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5x + 0.0625 + x2 = -2 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -2 + 0.0625 Combine like terms: -2 + 0.0625 = -1.9375 0.0625 + -0.5x + x2 = -1.9375 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -1.9375 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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