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Simplifying 164 + -64x + 16x2 = 0 Solving 164 + -64x + 16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(41 + -16x + 4x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(41 + -16x + 4x2)' equal to zero and attempt to solve: Simplifying 41 + -16x + 4x2 = 0 Solving 41 + -16x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 10.25 + -4x + x2 = 0 Move the constant term to the right: Add '-10.25' to each side of the equation. 10.25 + -4x + -10.25 + x2 = 0 + -10.25 Reorder the terms: 10.25 + -10.25 + -4x + x2 = 0 + -10.25 Combine like terms: 10.25 + -10.25 = 0.00 0.00 + -4x + x2 = 0 + -10.25 -4x + x2 = 0 + -10.25 Combine like terms: 0 + -10.25 = -10.25 -4x + x2 = -10.25 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 = -10.25 + 4 Reorder the terms: 4 + -4x + x2 = -10.25 + 4 Combine like terms: -10.25 + 4 = -6.25 4 + -4x + x2 = -6.25 Factor a perfect square on the left side: (x + -2)(x + -2) = -6.25 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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