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Simplifying (7 + v)(5v + -2) = 0 Reorder the terms: (7 + v)(-2 + 5v) = 0 Multiply (7 + v) * (-2 + 5v) (7(-2 + 5v) + v(-2 + 5v)) = 0 ((-2 * 7 + 5v * 7) + v(-2 + 5v)) = 0 ((-14 + 35v) + v(-2 + 5v)) = 0 (-14 + 35v + (-2 * v + 5v * v)) = 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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