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Simplifying -11x + -1x2 = 34 Solving -11x + -1x2 = 34 Solving for variable 'x'. Reorder the terms: -34 + -11x + -1x2 = 34 + -34 Combine like terms: 34 + -34 = 0 -34 + -11x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(34 + 11x + x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(34 + 11x + x2)' equal to zero and attempt to solve: Simplifying 34 + 11x + x2 = 0 Solving 34 + 11x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-34' to each side of the equation. 34 + 11x + -34 + x2 = 0 + -34 Reorder the terms: 34 + -34 + 11x + x2 = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 11x + x2 = 0 + -34 11x + x2 = 0 + -34 Combine like terms: 0 + -34 = -34 11x + x2 = -34 The x term is 11x. Take half its coefficient (5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. 11x + 30.25 + x2 = -34 + 30.25 Reorder the terms: 30.25 + 11x + x2 = -34 + 30.25 Combine like terms: -34 + 30.25 = -3.75 30.25 + 11x + x2 = -3.75 Factor a perfect square on the left side: (x + 5.5)(x + 5.5) = -3.75 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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