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Simplifying 24v2 + -28vq + 18vq + -21q2 = 0 Reorder the terms: -28qv + 18qv + -21q2 + 24v2 = 0 Combine like terms: -28qv + 18qv = -10qv -10qv + -21q2 + 24v2 = 0 Solving -10qv + -21q2 + 24v2 = 0 Solving for variable 'q'. Factor a trinomial. (-3q + -4v)(7q + -6v) = 0Subproblem 1
Set the factor '(-3q + -4v)' equal to zero and attempt to solve: Simplifying -3q + -4v = 0 Solving -3q + -4v = 0 Move all terms containing q to the left, all other terms to the right. Add '4v' to each side of the equation. -3q + -4v + 4v = 0 + 4v Combine like terms: -4v + 4v = 0 -3q + 0 = 0 + 4v -3q = 0 + 4v Remove the zero: -3q = 4v Divide each side by '-3'. q = -1.333333333v Simplifying q = -1.333333333vSubproblem 2
Set the factor '(7q + -6v)' equal to zero and attempt to solve: Simplifying 7q + -6v = 0 Solving 7q + -6v = 0 Move all terms containing q to the left, all other terms to the right. Add '6v' to each side of the equation. 7q + -6v + 6v = 0 + 6v Combine like terms: -6v + 6v = 0 7q + 0 = 0 + 6v 7q = 0 + 6v Remove the zero: 7q = 6v Divide each side by '7'. q = 0.8571428571v Simplifying q = 0.8571428571vSolution
q = {-1.333333333v, 0.8571428571v}
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