Solve 3k=-4x^2+15

$$3 k = - 4 x ^ { 2 } + 15$$

Solve for k

$$k=-\frac{4x^{2}}{3}+5$$

Steps for Solving Linear Equation

The equation is in standard form.

$$3k=15-4x^{2}$$

Divide both sides by 3.

$$\frac{3k}{3}=\frac{15-4x^{2}}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$k=\frac{15-4x^{2}}{3}$$

Divide -4x^{2}+15 by 3.

$$k=-\frac{4x^{2}}{3}+5$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{15-3k}}{2}$$

$$x=\frac{\sqrt{15-3k}}{2}$$

Solve for x

$$x=\frac{\sqrt{15-3k}}{2}$$

$$x=-\frac{\sqrt{15-3k}}{2}\text{, }k\leq 5$$