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Simplifying 2x2 + -100x + 2500 = 0 Reorder the terms: 2500 + -100x + 2x2 = 0 Solving 2500 + -100x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(1250 + -50x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1250 + -50x + x2)' equal to zero and attempt to solve: Simplifying 1250 + -50x + x2 = 0 Solving 1250 + -50x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-1250' to each side of the equation. 1250 + -50x + -1250 + x2 = 0 + -1250 Reorder the terms: 1250 + -1250 + -50x + x2 = 0 + -1250 Combine like terms: 1250 + -1250 = 0 0 + -50x + x2 = 0 + -1250 -50x + x2 = 0 + -1250 Combine like terms: 0 + -1250 = -1250 -50x + x2 = -1250 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 = -1250 + 625 Reorder the terms: 625 + -50x + x2 = -1250 + 625 Combine like terms: -1250 + 625 = -625 625 + -50x + x2 = -625 Factor a perfect square on the left side: (x + -25)(x + -25) = -625 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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