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Simplifying 2x2 + -22x + 690 = 0 Reorder the terms: 690 + -22x + 2x2 = 0 Solving 690 + -22x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(345 + -11x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(345 + -11x + x2)' equal to zero and attempt to solve: Simplifying 345 + -11x + x2 = 0 Solving 345 + -11x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-345' to each side of the equation. 345 + -11x + -345 + x2 = 0 + -345 Reorder the terms: 345 + -345 + -11x + x2 = 0 + -345 Combine like terms: 345 + -345 = 0 0 + -11x + x2 = 0 + -345 -11x + x2 = 0 + -345 Combine like terms: 0 + -345 = -345 -11x + x2 = -345 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 = -345 + 30.25 Reorder the terms: 30.25 + -11x + x2 = -345 + 30.25 Combine like terms: -345 + 30.25 = -314.75 30.25 + -11x + x2 = -314.75 Factor a perfect square on the left side: (x + -5.5)(x + -5.5) = -314.75 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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