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Simplifying -4x2 + 48x + -176 = 0 Reorder the terms: -176 + 48x + -4x2 = 0 Solving -176 + 48x + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-44 + 12x + -1x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-44 + 12x + -1x2)' equal to zero and attempt to solve: Simplifying -44 + 12x + -1x2 = 0 Solving -44 + 12x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 44 + -12x + x2 = 0 Move the constant term to the right: Add '-44' to each side of the equation. 44 + -12x + -44 + x2 = 0 + -44 Reorder the terms: 44 + -44 + -12x + x2 = 0 + -44 Combine like terms: 44 + -44 = 0 0 + -12x + x2 = 0 + -44 -12x + x2 = 0 + -44 Combine like terms: 0 + -44 = -44 -12x + x2 = -44 The x term is -12x. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12x + 36 + x2 = -44 + 36 Reorder the terms: 36 + -12x + x2 = -44 + 36 Combine like terms: -44 + 36 = -8 36 + -12x + x2 = -8 Factor a perfect square on the left side: (x + -6)(x + -6) = -8 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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