Solve 5x^2-45=0.3a

$$5 x ^ { 2 } - 45 = 0.3 a$$

Solve for a

$$a=\frac{50x^{2}}{3}-150$$

Steps for Solving Linear Equation

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

$$0.3a=5x^{2}-45$$

Divide both sides of the equation by 0.3, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.3a}{0.3}=\frac{5x^{2}-45}{0.3}$$

Dividing by 0.3 undoes the multiplication by 0.3.

$$a=\frac{5x^{2}-45}{0.3}$$

Divide 5x^{2}-45 by 0.3 by multiplying 5x^{2}-45 by the reciprocal of 0.3.

$$a=\frac{50x^{2}}{3}-150$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{6\left(a+150\right)}}{10}$$

$$x=\frac{\sqrt{6\left(a+150\right)}}{10}$$

Solve for x

$$x=\frac{\sqrt{6\left(a+150\right)}}{10}$$

$$x=-\frac{\sqrt{6\left(a+150\right)}}{10}\text{, }a\geq -150$$