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Simplifying -8x2 + -4x + -192 = 0 Reorder the terms: -192 + -4x + -8x2 = 0 Solving -192 + -4x + -8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-4'. -4(48 + x + 2x2) = 0 Ignore the factor -4.Subproblem 1
Set the factor '(48 + x + 2x2)' equal to zero and attempt to solve: Simplifying 48 + x + 2x2 = 0 Solving 48 + x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 24 + 0.5x + x2 = 0 Move the constant term to the right: Add '-24' to each side of the equation. 24 + 0.5x + -24 + x2 = 0 + -24 Reorder the terms: 24 + -24 + 0.5x + x2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 0.5x + x2 = 0 + -24 0.5x + x2 = 0 + -24 Combine like terms: 0 + -24 = -24 0.5x + x2 = -24 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.5x + 0.25 + x2 = -24 + 0.25 Reorder the terms: 0.25 + 0.5x + x2 = -24 + 0.25 Combine like terms: -24 + 0.25 = -23.75 0.25 + 0.5x + x2 = -23.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -23.75 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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