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Simplifying 2x2 + -50x + 500 = 0 Reorder the terms: 500 + -50x + 2x2 = 0 Solving 500 + -50x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(250 + -25x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(250 + -25x + x2)' equal to zero and attempt to solve: Simplifying 250 + -25x + x2 = 0 Solving 250 + -25x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-250' to each side of the equation. 250 + -25x + -250 + x2 = 0 + -250 Reorder the terms: 250 + -250 + -25x + x2 = 0 + -250 Combine like terms: 250 + -250 = 0 0 + -25x + x2 = 0 + -250 -25x + x2 = 0 + -250 Combine like terms: 0 + -250 = -250 -25x + x2 = -250 The x term is -25x. Take half its coefficient (-12.5). Square it (156.25) and add it to both sides. Add '156.25' to each side of the equation. -25x + 156.25 + x2 = -250 + 156.25 Reorder the terms: 156.25 + -25x + x2 = -250 + 156.25 Combine like terms: -250 + 156.25 = -93.75 156.25 + -25x + x2 = -93.75 Factor a perfect square on the left side: (x + -12.5)(x + -12.5) = -93.75 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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