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Simplifying 4x2 + -48x + 266 = 0 Reorder the terms: 266 + -48x + 4x2 = 0 Solving 266 + -48x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(133 + -24x + 2x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(133 + -24x + 2x2)' equal to zero and attempt to solve: Simplifying 133 + -24x + 2x2 = 0 Solving 133 + -24x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 66.5 + -12x + x2 = 0 Move the constant term to the right: Add '-66.5' to each side of the equation. 66.5 + -12x + -66.5 + x2 = 0 + -66.5 Reorder the terms: 66.5 + -66.5 + -12x + x2 = 0 + -66.5 Combine like terms: 66.5 + -66.5 = 0.0 0.0 + -12x + x2 = 0 + -66.5 -12x + x2 = 0 + -66.5 Combine like terms: 0 + -66.5 = -66.5 -12x + x2 = -66.5 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 = -66.5 + 36 Reorder the terms: 36 + -12x + x2 = -66.5 + 36 Combine like terms: -66.5 + 36 = -30.5 36 + -12x + x2 = -30.5 Factor a perfect square on the left side: (x + -6)(x + -6) = -30.5 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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