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Simplifying 16x2 + -32x + 256 = 238 Reorder the terms: 256 + -32x + 16x2 = 238 Solving 256 + -32x + 16x2 = 238 Solving for variable 'x'. Reorder the terms: 256 + -238 + -32x + 16x2 = 238 + -238 Combine like terms: 256 + -238 = 18 18 + -32x + 16x2 = 238 + -238 Combine like terms: 238 + -238 = 0 18 + -32x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(9 + -16x + 8x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + -16x + 8x2)' equal to zero and attempt to solve: Simplifying 9 + -16x + 8x2 = 0 Solving 9 + -16x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.125 + -2x + x2 = 0 Move the constant term to the right: Add '-1.125' to each side of the equation. 1.125 + -2x + -1.125 + x2 = 0 + -1.125 Reorder the terms: 1.125 + -1.125 + -2x + x2 = 0 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + -2x + x2 = 0 + -1.125 -2x + x2 = 0 + -1.125 Combine like terms: 0 + -1.125 = -1.125 -2x + x2 = -1.125 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 = -1.125 + 1 Reorder the terms: 1 + -2x + x2 = -1.125 + 1 Combine like terms: -1.125 + 1 = -0.125 1 + -2x + x2 = -0.125 Factor a perfect square on the left side: (x + -1)(x + -1) = -0.125 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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