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Simplifying 26x2 + -1300x + 16900 = 0 Reorder the terms: 16900 + -1300x + 26x2 = 0 Solving 16900 + -1300x + 26x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '26'. 26(650 + -50x + x2) = 0 Ignore the factor 26.Subproblem 1
Set the factor '(650 + -50x + x2)' equal to zero and attempt to solve: Simplifying 650 + -50x + x2 = 0 Solving 650 + -50x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-650' to each side of the equation. 650 + -50x + -650 + x2 = 0 + -650 Reorder the terms: 650 + -650 + -50x + x2 = 0 + -650 Combine like terms: 650 + -650 = 0 0 + -50x + x2 = 0 + -650 -50x + x2 = 0 + -650 Combine like terms: 0 + -650 = -650 -50x + x2 = -650 The x term is -50x. Take half its coefficient (-25). Square it (625) and add it to both sides. Add '625' to each side of the equation. -50x + 625 + x2 = -650 + 625 Reorder the terms: 625 + -50x + x2 = -650 + 625 Combine like terms: -650 + 625 = -25 625 + -50x + x2 = -25 Factor a perfect square on the left side: (x + -25)(x + -25) = -25 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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