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Simplifying -30 + -25v = 9v2 Solving -30 + -25v = 9v2 Solving for variable 'v'. Combine like terms: 9v2 + -9v2 = 0 -30 + -25v + -9v2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(30 + 25v + 9v2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(30 + 25v + 9v2)' equal to zero and attempt to solve: Simplifying 30 + 25v + 9v2 = 0 Solving 30 + 25v + 9v2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 3.333333333 + 2.777777778v + v2 = 0 Move the constant term to the right: Add '-3.333333333' to each side of the equation. 3.333333333 + 2.777777778v + -3.333333333 + v2 = 0 + -3.333333333 Reorder the terms: 3.333333333 + -3.333333333 + 2.777777778v + v2 = 0 + -3.333333333 Combine like terms: 3.333333333 + -3.333333333 = 0.000000000 0.000000000 + 2.777777778v + v2 = 0 + -3.333333333 2.777777778v + v2 = 0 + -3.333333333 Combine like terms: 0 + -3.333333333 = -3.333333333 2.777777778v + v2 = -3.333333333 The v term is 2.777777778v. Take half its coefficient (1.388888889). Square it (1.929012346) and add it to both sides. Add '1.929012346' to each side of the equation. 2.777777778v + 1.929012346 + v2 = -3.333333333 + 1.929012346 Reorder the terms: 1.929012346 + 2.777777778v + v2 = -3.333333333 + 1.929012346 Combine like terms: -3.333333333 + 1.929012346 = -1.404320987 1.929012346 + 2.777777778v + v2 = -1.404320987 Factor a perfect square on the left side: (v + 1.388888889)(v + 1.388888889) = -1.404320987 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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