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Simplifying -4x2 + 16x + -24 = 0 Reorder the terms: -24 + 16x + -4x2 = 0 Solving -24 + 16x + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-6 + 4x + -1x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-6 + 4x + -1x2)' equal to zero and attempt to solve: Simplifying -6 + 4x + -1x2 = 0 Solving -6 + 4x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 6 + -4x + x2 = 0 Move the constant term to the right: Add '-6' to each side of the equation. 6 + -4x + -6 + x2 = 0 + -6 Reorder the terms: 6 + -6 + -4x + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -4x + x2 = 0 + -6 -4x + x2 = 0 + -6 Combine like terms: 0 + -6 = -6 -4x + x2 = -6 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -6 + 4 Reorder the terms: 4 + -4x + x2 = -6 + 4 Combine like terms: -6 + 4 = -2 4 + -4x + x2 = -2 Factor a perfect square on the left side: (x + -2)(x + -2) = -2 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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