4v^2-8v+60=0

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Solution for 4v^2-8v+60=0 equation:


Simplifying
4v2 + -8v + 60 = 0

Reorder the terms:
60 + -8v + 4v2 = 0

Solving
60 + -8v + 4v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '4'.
4(15 + -2v + v2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(15 + -2v + v2)' equal to zero and attempt to solve: Simplifying 15 + -2v + v2 = 0 Solving 15 + -2v + v2 = 0 Begin completing the square. Move the constant term to the right: Add '-15' to each side of the equation. 15 + -2v + -15 + v2 = 0 + -15 Reorder the terms: 15 + -15 + -2v + v2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2v + v2 = 0 + -15 -2v + v2 = 0 + -15 Combine like terms: 0 + -15 = -15 -2v + v2 = -15 The v term is -2v. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2v + 1 + v2 = -15 + 1 Reorder the terms: 1 + -2v + v2 = -15 + 1 Combine like terms: -15 + 1 = -14 1 + -2v + v2 = -14 Factor a perfect square on the left side: (v + -1)(v + -1) = -14 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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