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Simplifying v2 + 12v + 20 = (v + 10)(v + 4) Reorder the terms: 20 + 12v + v2 = (v + 10)(v + 4) Reorder the terms: 20 + 12v + v2 = (10 + v)(v + 4) Reorder the terms: 20 + 12v + v2 = (10 + v)(4 + v) Multiply (10 + v) * (4 + v) 20 + 12v + v2 = (10(4 + v) + v(4 + v)) 20 + 12v + v2 = ((4 * 10 + v * 10) + v(4 + v)) 20 + 12v + v2 = ((40 + 10v) + v(4 + v)) 20 + 12v + v2 = (40 + 10v + (4 * v + v * v)) 20 + 12v + v2 = (40 + 10v + (4v + v2)) Combine like terms: 10v + 4v = 14v 20 + 12v + v2 = (40 + 14v + v2) Add '-1v2' to each side of the equation. 20 + 12v + v2 + -1v2 = 40 + 14v + v2 + -1v2 Combine like terms: v2 + -1v2 = 0 20 + 12v + 0 = 40 + 14v + v2 + -1v2 20 + 12v = 40 + 14v + v2 + -1v2 Combine like terms: v2 + -1v2 = 0 20 + 12v = 40 + 14v + 0 20 + 12v = 40 + 14v Solving 20 + 12v = 40 + 14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14v' to each side of the equation. 20 + 12v + -14v = 40 + 14v + -14v Combine like terms: 12v + -14v = -2v 20 + -2v = 40 + 14v + -14v Combine like terms: 14v + -14v = 0 20 + -2v = 40 + 0 20 + -2v = 40 Add '-20' to each side of the equation. 20 + -20 + -2v = 40 + -20 Combine like terms: 20 + -20 = 0 0 + -2v = 40 + -20 -2v = 40 + -20 Combine like terms: 40 + -20 = 20 -2v = 20 Divide each side by '-2'. v = -10 Simplifying v = -10
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