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Simplifying 11v2 + -15v + 132 = 10v2 Reorder the terms: 132 + -15v + 11v2 = 10v2 Solving 132 + -15v + 11v2 = 10v2 Solving for variable 'v'. Combine like terms: 11v2 + -10v2 = 1v2 132 + -15v + 1v2 = 10v2 + -10v2 Combine like terms: 10v2 + -10v2 = 0 132 + -15v + 1v2 = 0 Begin completing the square. Move the constant term to the right: Add '-132' to each side of the equation. 132 + -15v + -132 + v2 = 0 + -132 Reorder the terms: 132 + -132 + -15v + v2 = 0 + -132 Combine like terms: 132 + -132 = 0 0 + -15v + v2 = 0 + -132 -15v + v2 = 0 + -132 Combine like terms: 0 + -132 = -132 -15v + v2 = -132 The v term is -15v. Take half its coefficient (-7.5). Square it (56.25) and add it to both sides. Add '56.25' to each side of the equation. -15v + 56.25 + v2 = -132 + 56.25 Reorder the terms: 56.25 + -15v + v2 = -132 + 56.25 Combine like terms: -132 + 56.25 = -75.75 56.25 + -15v + v2 = -75.75 Factor a perfect square on the left side: (v + -7.5)(v + -7.5) = -75.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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