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