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Simplifying (7 + -1v)(5v + 2) = 0 Reorder the terms: (7 + -1v)(2 + 5v) = 0 Multiply (7 + -1v) * (2 + 5v) (7(2 + 5v) + -1v * (2 + 5v)) = 0 ((2 * 7 + 5v * 7) + -1v * (2 + 5v)) = 0 ((14 + 35v) + -1v * (2 + 5v)) = 0 (14 + 35v + (2 * -1v + 5v * -1v)) = 0 (14 + 35v + (-2v + -5v2)) = 0 Combine like terms: 35v + -2v = 33v (14 + 33v + -5v2) = 0 Solving 14 + 33v + -5v2 = 0 Solving for variable 'v'. Factor a trinomial. (7 + -1v)(2 + 5v) = 0Subproblem 1
Set the factor '(7 + -1v)' equal to zero and attempt to solve: Simplifying 7 + -1v = 0 Solving 7 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1v = 0 + -7 -1v = 0 + -7 Combine like terms: 0 + -7 = -7 -1v = -7 Divide each side by '-1'. v = 7 Simplifying v = 7Subproblem 2
Set the factor '(2 + 5v)' equal to zero and attempt to solve: Simplifying 2 + 5v = 0 Solving 2 + 5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5v = 0 + -2 5v = 0 + -2 Combine like terms: 0 + -2 = -2 5v = -2 Divide each side by '5'. v = -0.4 Simplifying v = -0.4Solution
v = {7, -0.4}
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