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Simplifying 5x2 + -250x + 5000 = 0 Reorder the terms: 5000 + -250x + 5x2 = 0 Solving 5000 + -250x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(1000 + -50x + x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(1000 + -50x + x2)' equal to zero and attempt to solve: Simplifying 1000 + -50x + x2 = 0 Solving 1000 + -50x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-1000' to each side of the equation. 1000 + -50x + -1000 + x2 = 0 + -1000 Reorder the terms: 1000 + -1000 + -50x + x2 = 0 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -50x + x2 = 0 + -1000 -50x + x2 = 0 + -1000 Combine like terms: 0 + -1000 = -1000 -50x + x2 = -1000 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 = -1000 + 625 Reorder the terms: 625 + -50x + x2 = -1000 + 625 Combine like terms: -1000 + 625 = -375 625 + -50x + x2 = -375 Factor a perfect square on the left side: (x + -25)(x + -25) = -375 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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