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Simplifying (5v + -4)(7v + -3) = 0 Reorder the terms: (-4 + 5v)(7v + -3) = 0 Reorder the terms: (-4 + 5v)(-3 + 7v) = 0 Multiply (-4 + 5v) * (-3 + 7v) (-4(-3 + 7v) + 5v * (-3 + 7v)) = 0 ((-3 * -4 + 7v * -4) + 5v * (-3 + 7v)) = 0 ((12 + -28v) + 5v * (-3 + 7v)) = 0 (12 + -28v + (-3 * 5v + 7v * 5v)) = 0 (12 + -28v + (-15v + 35v2)) = 0 Combine like terms: -28v + -15v = -43v (12 + -43v + 35v2) = 0 Solving 12 + -43v + 35v2 = 0 Solving for variable 'v'. Factor a trinomial. (3 + -7v)(4 + -5v) = 0Subproblem 1
Set the factor '(3 + -7v)' equal to zero and attempt to solve: Simplifying 3 + -7v = 0 Solving 3 + -7v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7v = 0 + -3 -7v = 0 + -3 Combine like terms: 0 + -3 = -3 -7v = -3 Divide each side by '-7'. v = 0.4285714286 Simplifying v = 0.4285714286Subproblem 2
Set the factor '(4 + -5v)' equal to zero and attempt to solve: Simplifying 4 + -5v = 0 Solving 4 + -5v = 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 + -5v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5v = 0 + -4 -5v = 0 + -4 Combine like terms: 0 + -4 = -4 -5v = -4 Divide each side by '-5'. v = 0.8 Simplifying v = 0.8Solution
v = {0.4285714286, 0.8}
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