Solve 24x^2-14x=6b

$$24 x ^ { 2 } - 14 x = 6 b$$

Solve for b

$$b=\frac{x\left(12x-7\right)}{3}$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$6b=24x^{2}-14x$$

Divide both sides by 6.

$$\frac{6b}{6}=\frac{2x\left(12x-7\right)}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$b=\frac{2x\left(12x-7\right)}{6}$$

Divide 2x\left(-7+12x\right) by 6.

$$b=\frac{x\left(12x-7\right)}{3}$$

Solve for x (complex solution)

$$x=\frac{\sqrt{144b+49}+7}{24}$$

$$x=\frac{-\sqrt{144b+49}+7}{24}$$

Solve for x

$$x=\frac{\sqrt{144b+49}+7}{24}$$

$$x=\frac{-\sqrt{144b+49}+7}{24}\text{, }b\geq -\frac{49}{144}$$