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Simplifying 4v2 + -32v + 224 = 0 Reorder the terms: 224 + -32v + 4v2 = 0 Solving 224 + -32v + 4v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '4'. 4(56 + -8v + v2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(56 + -8v + v2)' equal to zero and attempt to solve: Simplifying 56 + -8v + v2 = 0 Solving 56 + -8v + v2 = 0 Begin completing the square. Move the constant term to the right: Add '-56' to each side of the equation. 56 + -8v + -56 + v2 = 0 + -56 Reorder the terms: 56 + -56 + -8v + v2 = 0 + -56 Combine like terms: 56 + -56 = 0 0 + -8v + v2 = 0 + -56 -8v + v2 = 0 + -56 Combine like terms: 0 + -56 = -56 -8v + v2 = -56 The v term is -8v. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8v + 16 + v2 = -56 + 16 Reorder the terms: 16 + -8v + v2 = -56 + 16 Combine like terms: -56 + 16 = -40 16 + -8v + v2 = -40 Factor a perfect square on the left side: (v + -4)(v + -4) = -40 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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