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Simplifying 50x2 + -500x + 22500 = 0 Reorder the terms: 22500 + -500x + 50x2 = 0 Solving 22500 + -500x + 50x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '50'. 50(450 + -10x + x2) = 0 Ignore the factor 50.Subproblem 1
Set the factor '(450 + -10x + x2)' equal to zero and attempt to solve: Simplifying 450 + -10x + x2 = 0 Solving 450 + -10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-450' to each side of the equation. 450 + -10x + -450 + x2 = 0 + -450 Reorder the terms: 450 + -450 + -10x + x2 = 0 + -450 Combine like terms: 450 + -450 = 0 0 + -10x + x2 = 0 + -450 -10x + x2 = 0 + -450 Combine like terms: 0 + -450 = -450 -10x + x2 = -450 The x term is -10x. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10x + 25 + x2 = -450 + 25 Reorder the terms: 25 + -10x + x2 = -450 + 25 Combine like terms: -450 + 25 = -425 25 + -10x + x2 = -425 Factor a perfect square on the left side: (x + -5)(x + -5) = -425 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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