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Simplifying (7v + -2)(3v + -8) = 0 Reorder the terms: (-2 + 7v)(3v + -8) = 0 Reorder the terms: (-2 + 7v)(-8 + 3v) = 0 Multiply (-2 + 7v) * (-8 + 3v) (-2(-8 + 3v) + 7v * (-8 + 3v)) = 0 ((-8 * -2 + 3v * -2) + 7v * (-8 + 3v)) = 0 ((16 + -6v) + 7v * (-8 + 3v)) = 0 (16 + -6v + (-8 * 7v + 3v * 7v)) = 0 (16 + -6v + (-56v + 21v2)) = 0 Combine like terms: -6v + -56v = -62v (16 + -62v + 21v2) = 0 Solving 16 + -62v + 21v2 = 0 Solving for variable 'v'. Factor a trinomial. (2 + -7v)(8 + -3v) = 0Subproblem 1
Set the factor '(2 + -7v)' equal to zero and attempt to solve: Simplifying 2 + -7v = 0 Solving 2 + -7v = 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 + -7v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7v = 0 + -2 -7v = 0 + -2 Combine like terms: 0 + -2 = -2 -7v = -2 Divide each side by '-7'. v = 0.2857142857 Simplifying v = 0.2857142857Subproblem 2
Set the factor '(8 + -3v)' equal to zero and attempt to solve: Simplifying 8 + -3v = 0 Solving 8 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3v = 0 + -8 -3v = 0 + -8 Combine like terms: 0 + -8 = -8 -3v = -8 Divide each side by '-3'. v = 2.666666667 Simplifying v = 2.666666667Solution
v = {0.2857142857, 2.666666667}
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