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Simplifying 0 = x2 + 16x + 124 Reorder the terms: 0 = 124 + 16x + x2 Solving 0 = 124 + 16x + x2 Solving for variable 'x'. Combine like terms: 0 + -124 = -124 -124 + -16x + -1x2 = 124 + 16x + x2 + -124 + -16x + -1x2 Reorder the terms: -124 + -16x + -1x2 = 124 + -124 + 16x + -16x + x2 + -1x2 Combine like terms: 124 + -124 = 0 -124 + -16x + -1x2 = 0 + 16x + -16x + x2 + -1x2 -124 + -16x + -1x2 = 16x + -16x + x2 + -1x2 Combine like terms: 16x + -16x = 0 -124 + -16x + -1x2 = 0 + x2 + -1x2 -124 + -16x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -124 + -16x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(124 + 16x + x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(124 + 16x + x2)' equal to zero and attempt to solve: Simplifying 124 + 16x + x2 = 0 Solving 124 + 16x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-124' to each side of the equation. 124 + 16x + -124 + x2 = 0 + -124 Reorder the terms: 124 + -124 + 16x + x2 = 0 + -124 Combine like terms: 124 + -124 = 0 0 + 16x + x2 = 0 + -124 16x + x2 = 0 + -124 Combine like terms: 0 + -124 = -124 16x + x2 = -124 The x term is 16x. Take half its coefficient (8). Square it (64) and add it to both sides. Add '64' to each side of the equation. 16x + 64 + x2 = -124 + 64 Reorder the terms: 64 + 16x + x2 = -124 + 64 Combine like terms: -124 + 64 = -60 64 + 16x + x2 = -60 Factor a perfect square on the left side: (x + 8)(x + 8) = -60 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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