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Simplifying (9v + -4)(8v + 1) = 0 Reorder the terms: (-4 + 9v)(8v + 1) = 0 Reorder the terms: (-4 + 9v)(1 + 8v) = 0 Multiply (-4 + 9v) * (1 + 8v) (-4(1 + 8v) + 9v * (1 + 8v)) = 0 ((1 * -4 + 8v * -4) + 9v * (1 + 8v)) = 0 ((-4 + -32v) + 9v * (1 + 8v)) = 0 (-4 + -32v + (1 * 9v + 8v * 9v)) = 0 (-4 + -32v + (9v + 72v2)) = 0 Combine like terms: -32v + 9v = -23v (-4 + -23v + 72v2) = 0 Solving -4 + -23v + 72v2 = 0 Solving for variable 'v'. Factor a trinomial. (-1 + -8v)(4 + -9v) = 0Subproblem 1
Set the factor '(-1 + -8v)' equal to zero and attempt to solve: Simplifying -1 + -8v = 0 Solving -1 + -8v = 0 Move all terms containing v to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -8v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -8v = 0 + 1 -8v = 0 + 1 Combine like terms: 0 + 1 = 1 -8v = 1 Divide each side by '-8'. v = -0.125 Simplifying v = -0.125Subproblem 2
Set the factor '(4 + -9v)' equal to zero and attempt to solve: Simplifying 4 + -9v = 0 Solving 4 + -9v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -9v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9v = 0 + -4 -9v = 0 + -4 Combine like terms: 0 + -4 = -4 -9v = -4 Divide each side by '-9'. v = 0.4444444444 Simplifying v = 0.4444444444Solution
v = {-0.125, 0.4444444444}
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