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Simplifying -1x2 + -50x = 900 Reorder the terms: -50x + -1x2 = 900 Solving -50x + -1x2 = 900 Solving for variable 'x'. Reorder the terms: -900 + -50x + -1x2 = 900 + -900 Combine like terms: 900 + -900 = 0 -900 + -50x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(900 + 50x + x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(900 + 50x + x2)' equal to zero and attempt to solve: Simplifying 900 + 50x + x2 = 0 Solving 900 + 50x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-900' to each side of the equation. 900 + 50x + -900 + x2 = 0 + -900 Reorder the terms: 900 + -900 + 50x + x2 = 0 + -900 Combine like terms: 900 + -900 = 0 0 + 50x + x2 = 0 + -900 50x + x2 = 0 + -900 Combine like terms: 0 + -900 = -900 50x + x2 = -900 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 = -900 + 625 Reorder the terms: 625 + 50x + x2 = -900 + 625 Combine like terms: -900 + 625 = -275 625 + 50x + x2 = -275 Factor a perfect square on the left side: (x + 25)(x + 25) = -275 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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