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Simplifying 64x2 + -12x + 16 = 0 Reorder the terms: 16 + -12x + 64x2 = 0 Solving 16 + -12x + 64x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(4 + -3x + 16x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(4 + -3x + 16x2)' equal to zero and attempt to solve: Simplifying 4 + -3x + 16x2 = 0 Solving 4 + -3x + 16x2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.25 + -0.1875x + x2 = 0 Move the constant term to the right: Add '-0.25' to each side of the equation. 0.25 + -0.1875x + -0.25 + x2 = 0 + -0.25 Reorder the terms: 0.25 + -0.25 + -0.1875x + x2 = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + -0.1875x + x2 = 0 + -0.25 -0.1875x + x2 = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 -0.1875x + x2 = -0.25 The x term is -0.1875x. Take half its coefficient (-0.09375). Square it (0.0087890625) and add it to both sides. Add '0.0087890625' to each side of the equation. -0.1875x + 0.0087890625 + x2 = -0.25 + 0.0087890625 Reorder the terms: 0.0087890625 + -0.1875x + x2 = -0.25 + 0.0087890625 Combine like terms: -0.25 + 0.0087890625 = -0.2412109375 0.0087890625 + -0.1875x + x2 = -0.2412109375 Factor a perfect square on the left side: (x + -0.09375)(x + -0.09375) = -0.2412109375 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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