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Simplifying 16x2 + -32x + 20 = 0 Reorder the terms: 20 + -32x + 16x2 = 0 Solving 20 + -32x + 16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(5 + -8x + 4x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(5 + -8x + 4x2)' equal to zero and attempt to solve: Simplifying 5 + -8x + 4x2 = 0 Solving 5 + -8x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1.25 + -2x + x2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + -2x + -1.25 + x2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + -2x + x2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + -2x + x2 = 0 + -1.25 -2x + x2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 -2x + x2 = -1.25 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -1.25 + 1 Reorder the terms: 1 + -2x + x2 = -1.25 + 1 Combine like terms: -1.25 + 1 = -0.25 1 + -2x + x2 = -0.25 Factor a perfect square on the left side: (x + -1)(x + -1) = -0.25 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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