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Simplifying 2x2 + -26x + 520 = 0 Reorder the terms: 520 + -26x + 2x2 = 0 Solving 520 + -26x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(260 + -13x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(260 + -13x + x2)' equal to zero and attempt to solve: Simplifying 260 + -13x + x2 = 0 Solving 260 + -13x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-260' to each side of the equation. 260 + -13x + -260 + x2 = 0 + -260 Reorder the terms: 260 + -260 + -13x + x2 = 0 + -260 Combine like terms: 260 + -260 = 0 0 + -13x + x2 = 0 + -260 -13x + x2 = 0 + -260 Combine like terms: 0 + -260 = -260 -13x + x2 = -260 The x term is -13x. Take half its coefficient (-6.5). Square it (42.25) and add it to both sides. Add '42.25' to each side of the equation. -13x + 42.25 + x2 = -260 + 42.25 Reorder the terms: 42.25 + -13x + x2 = -260 + 42.25 Combine like terms: -260 + 42.25 = -217.75 42.25 + -13x + x2 = -217.75 Factor a perfect square on the left side: (x + -6.5)(x + -6.5) = -217.75 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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