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Simplifying 50x2 + 50x + 50000000 = 0 Reorder the terms: 50000000 + 50x + 50x2 = 0 Solving 50000000 + 50x + 50x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '50'. 50(1000000 + x + x2) = 0 Ignore the factor 50.Subproblem 1
Set the factor '(1000000 + x + x2)' equal to zero and attempt to solve: Simplifying 1000000 + x + x2 = 0 Solving 1000000 + x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-1000000' to each side of the equation. 1000000 + x + -1000000 + x2 = 0 + -1000000 Reorder the terms: 1000000 + -1000000 + x + x2 = 0 + -1000000 Combine like terms: 1000000 + -1000000 = 0 0 + x + x2 = 0 + -1000000 x + x2 = 0 + -1000000 Combine like terms: 0 + -1000000 = -1000000 x + x2 = -1000000 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. x + 0.25 + x2 = -1000000 + 0.25 Reorder the terms: 0.25 + x + x2 = -1000000 + 0.25 Combine like terms: -1000000 + 0.25 = -999999.75 0.25 + x + x2 = -999999.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -999999.75 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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