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Simplifying 16x2 + -32x + 22 = 0 Reorder the terms: 22 + -32x + 16x2 = 0 Solving 22 + -32x + 16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(11 + -16x + 8x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(11 + -16x + 8x2)' equal to zero and attempt to solve: Simplifying 11 + -16x + 8x2 = 0 Solving 11 + -16x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.375 + -2x + x2 = 0 Move the constant term to the right: Add '-1.375' to each side of the equation. 1.375 + -2x + -1.375 + x2 = 0 + -1.375 Reorder the terms: 1.375 + -1.375 + -2x + x2 = 0 + -1.375 Combine like terms: 1.375 + -1.375 = 0.000 0.000 + -2x + x2 = 0 + -1.375 -2x + x2 = 0 + -1.375 Combine like terms: 0 + -1.375 = -1.375 -2x + x2 = -1.375 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 = -1.375 + 1 Reorder the terms: 1 + -2x + x2 = -1.375 + 1 Combine like terms: -1.375 + 1 = -0.375 1 + -2x + x2 = -0.375 Factor a perfect square on the left side: (x + -1)(x + -1) = -0.375 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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