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Simplifying (11v + 6)(5v + -7) = 0 Reorder the terms: (6 + 11v)(5v + -7) = 0 Reorder the terms: (6 + 11v)(-7 + 5v) = 0 Multiply (6 + 11v) * (-7 + 5v) (6(-7 + 5v) + 11v * (-7 + 5v)) = 0 ((-7 * 6 + 5v * 6) + 11v * (-7 + 5v)) = 0 ((-42 + 30v) + 11v * (-7 + 5v)) = 0 (-42 + 30v + (-7 * 11v + 5v * 11v)) = 0 (-42 + 30v + (-77v + 55v2)) = 0 Combine like terms: 30v + -77v = -47v (-42 + -47v + 55v2) = 0 Solving -42 + -47v + 55v2 = 0 Solving for variable 'v'. Factor a trinomial. (-6 + -11v)(7 + -5v) = 0Subproblem 1
Set the factor '(-6 + -11v)' equal to zero and attempt to solve: Simplifying -6 + -11v = 0 Solving -6 + -11v = 0 Move all terms containing v to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -11v = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -11v = 0 + 6 -11v = 0 + 6 Combine like terms: 0 + 6 = 6 -11v = 6 Divide each side by '-11'. v = -0.5454545455 Simplifying v = -0.5454545455Subproblem 2
Set the factor '(7 + -5v)' equal to zero and attempt to solve: Simplifying 7 + -5v = 0 Solving 7 + -5v = 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 + -5v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5v = 0 + -7 -5v = 0 + -7 Combine like terms: 0 + -7 = -7 -5v = -7 Divide each side by '-5'. v = 1.4 Simplifying v = 1.4Solution
v = {-0.5454545455, 1.4}
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