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Simplifying 0 = x2 + 29x + 244 Reorder the terms: 0 = 244 + 29x + x2 Solving 0 = 244 + 29x + x2 Solving for variable 'x'. Combine like terms: 0 + -244 = -244 -244 + -29x + -1x2 = 244 + 29x + x2 + -244 + -29x + -1x2 Reorder the terms: -244 + -29x + -1x2 = 244 + -244 + 29x + -29x + x2 + -1x2 Combine like terms: 244 + -244 = 0 -244 + -29x + -1x2 = 0 + 29x + -29x + x2 + -1x2 -244 + -29x + -1x2 = 29x + -29x + x2 + -1x2 Combine like terms: 29x + -29x = 0 -244 + -29x + -1x2 = 0 + x2 + -1x2 -244 + -29x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -244 + -29x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(244 + 29x + x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(244 + 29x + x2)' equal to zero and attempt to solve: Simplifying 244 + 29x + x2 = 0 Solving 244 + 29x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-244' to each side of the equation. 244 + 29x + -244 + x2 = 0 + -244 Reorder the terms: 244 + -244 + 29x + x2 = 0 + -244 Combine like terms: 244 + -244 = 0 0 + 29x + x2 = 0 + -244 29x + x2 = 0 + -244 Combine like terms: 0 + -244 = -244 29x + x2 = -244 The x term is 29x. Take half its coefficient (14.5). Square it (210.25) and add it to both sides. Add '210.25' to each side of the equation. 29x + 210.25 + x2 = -244 + 210.25 Reorder the terms: 210.25 + 29x + x2 = -244 + 210.25 Combine like terms: -244 + 210.25 = -33.75 210.25 + 29x + x2 = -33.75 Factor a perfect square on the left side: (x + 14.5)(x + 14.5) = -33.75 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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