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Simplifying 5v2 + 250v + 42000 = 0 Reorder the terms: 42000 + 250v + 5v2 = 0 Solving 42000 + 250v + 5v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '5'. 5(8400 + 50v + v2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(8400 + 50v + v2)' equal to zero and attempt to solve: Simplifying 8400 + 50v + v2 = 0 Solving 8400 + 50v + v2 = 0 Begin completing the square. Move the constant term to the right: Add '-8400' to each side of the equation. 8400 + 50v + -8400 + v2 = 0 + -8400 Reorder the terms: 8400 + -8400 + 50v + v2 = 0 + -8400 Combine like terms: 8400 + -8400 = 0 0 + 50v + v2 = 0 + -8400 50v + v2 = 0 + -8400 Combine like terms: 0 + -8400 = -8400 50v + v2 = -8400 The v term is 50v. Take half its coefficient (25). Square it (625) and add it to both sides. Add '625' to each side of the equation. 50v + 625 + v2 = -8400 + 625 Reorder the terms: 625 + 50v + v2 = -8400 + 625 Combine like terms: -8400 + 625 = -7775 625 + 50v + v2 = -7775 Factor a perfect square on the left side: (v + 25)(v + 25) = -7775 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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