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Simplifying -16x2 + 8x + -48 = 0 Reorder the terms: -48 + 8x + -16x2 = 0 Solving -48 + 8x + -16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8'. 8(-6 + x + -2x2) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-6 + x + -2x2)' equal to zero and attempt to solve: Simplifying -6 + x + -2x2 = 0 Solving -6 + x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 3 + -0.5x + x2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -0.5x + -3 + x2 = 0 + -3 Reorder the terms: 3 + -3 + -0.5x + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -0.5x + x2 = 0 + -3 -0.5x + x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -0.5x + x2 = -3 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 = -3 + 0.25 Reorder the terms: 0.25 + -0.5x + x2 = -3 + 0.25 Combine like terms: -3 + 0.25 = -2.75 0.25 + -0.5x + x2 = -2.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -2.75 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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