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Simplifying (V2 + -8v + 15)(5v + 10) = 0 Reorder the terms: (15 + V2 + -8v)(5v + 10) = 0 Reorder the terms: (15 + V2 + -8v)(10 + 5v) = 0 Multiply (15 + V2 + -8v) * (10 + 5v) (15(10 + 5v) + V2(10 + 5v) + -8v * (10 + 5v)) = 0 ((10 * 15 + 5v * 15) + V2(10 + 5v) + -8v * (10 + 5v)) = 0 ((150 + 75v) + V2(10 + 5v) + -8v * (10 + 5v)) = 0 (150 + 75v + (10 * V2 + 5v * V2) + -8v * (10 + 5v)) = 0 (150 + 75v + (10V2 + 5vV2) + -8v * (10 + 5v)) = 0 (150 + 75v + 10V2 + 5vV2 + (10 * -8v + 5v * -8v)) = 0 (150 + 75v + 10V2 + 5vV2 + (-80v + -40v2)) = 0 Reorder the terms: (150 + 10V2 + 75v + -80v + 5vV2 + -40v2) = 0 Combine like terms: 75v + -80v = -5v (150 + 10V2 + -5v + 5vV2 + -40v2) = 0 Solving 150 + 10V2 + -5v + 5vV2 + -40v2 = 0 Solving for variable 'V'. Move all terms containing V to the left, all other terms to the right. Add '-150' to each side of the equation. 150 + 10V2 + -5v + 5vV2 + -150 + -40v2 = 0 + -150 Reorder the terms: 150 + -150 + 10V2 + -5v + 5vV2 + -40v2 = 0 + -150 Combine like terms: 150 + -150 = 0 0 + 10V2 + -5v + 5vV2 + -40v2 = 0 + -150 10V2 + -5v + 5vV2 + -40v2 = 0 + -150 Combine like terms: 0 + -150 = -150 10V2 + -5v + 5vV2 + -40v2 = -150 Add '5v' to each side of the equation. 10V2 + -5v + 5vV2 + 5v + -40v2 = -150 + 5v Reorder the terms: 10V2 + -5v + 5v + 5vV2 + -40v2 = -150 + 5v Combine like terms: -5v + 5v = 0 10V2 + 0 + 5vV2 + -40v2 = -150 + 5v 10V2 + 5vV2 + -40v2 = -150 + 5v Add '40v2' to each side of the equation. 10V2 + 5vV2 + -40v2 + 40v2 = -150 + 5v + 40v2 Combine like terms: -40v2 + 40v2 = 0 10V2 + 5vV2 + 0 = -150 + 5v + 40v2 10V2 + 5vV2 = -150 + 5v + 40v2 Reorder the terms: 150 + 10V2 + -5v + 5vV2 + -40v2 = -150 + 5v + 40v2 + 150 + -5v + -40v2 Reorder the terms: 150 + 10V2 + -5v + 5vV2 + -40v2 = -150 + 150 + 5v + -5v + 40v2 + -40v2 Combine like terms: -150 + 150 = 0 150 + 10V2 + -5v + 5vV2 + -40v2 = 0 + 5v + -5v + 40v2 + -40v2 150 + 10V2 + -5v + 5vV2 + -40v2 = 5v + -5v + 40v2 + -40v2 Combine like terms: 5v + -5v = 0 150 + 10V2 + -5v + 5vV2 + -40v2 = 0 + 40v2 + -40v2 150 + 10V2 + -5v + 5vV2 + -40v2 = 40v2 + -40v2 Combine like terms: 40v2 + -40v2 = 0 150 + 10V2 + -5v + 5vV2 + -40v2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(30 + 2V2 + -1v + vV2 + -8v2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(30 + 2V2 + -1v + vV2 + -8v2)' equal to zero and attempt to solve: Simplifying 30 + 2V2 + -1v + vV2 + -8v2 = 0 Solving 30 + 2V2 + -1v + vV2 + -8v2 = 0 Move all terms containing V to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 2V2 + -1v + vV2 + -30 + -8v2 = 0 + -30 Reorder the terms: 30 + -30 + 2V2 + -1v + vV2 + -8v2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 2V2 + -1v + vV2 + -8v2 = 0 + -30 2V2 + -1v + vV2 + -8v2 = 0 + -30 Combine like terms: 0 + -30 = -30 2V2 + -1v + vV2 + -8v2 = -30 Add 'v' to each side of the equation. 2V2 + -1v + vV2 + v + -8v2 = -30 + v Reorder the terms: 2V2 + -1v + v + vV2 + -8v2 = -30 + v Combine like terms: -1v + v = 0 2V2 + 0 + vV2 + -8v2 = -30 + v 2V2 + vV2 + -8v2 = -30 + v Add '8v2' to each side of the equation. 2V2 + vV2 + -8v2 + 8v2 = -30 + v + 8v2 Combine like terms: -8v2 + 8v2 = 0 2V2 + vV2 + 0 = -30 + v + 8v2 2V2 + vV2 = -30 + v + 8v2 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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