Solve 70-2x^2/a=5

$$\frac { 70 - 2 x ^ { 2 } } { a } = 5$$

Solve for a (complex solution)

$$a=-\frac{2x^{2}}{5}+14$$

$$x\neq -\sqrt{35}\text{ and }x\neq \sqrt{35}$$

Steps for Solving Linear Equation

Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by a.

$$70-2x^{2}=5a$$

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

$$5a=70-2x^{2}$$

Divide both sides by 5.

$$\frac{5a}{5}=\frac{70-2x^{2}}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$a=\frac{70-2x^{2}}{5}$$

Divide 70-2x^{2} by 5.

$$a=-\frac{2x^{2}}{5}+14$$

Variable a cannot be equal to 0.

$$a=-\frac{2x^{2}}{5}+14\text{, }a\neq 0$$

Solve for a

$$a=-\frac{2x^{2}}{5}+14$$

$$|x|\neq \sqrt{35}$$

Steps for Solving Linear Equation

Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by a.

$$70-2x^{2}=5a$$

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

$$5a=70-2x^{2}$$

Divide both sides by 5.

$$\frac{5a}{5}=\frac{70-2x^{2}}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$a=\frac{70-2x^{2}}{5}$$

Divide 70-2x^{2} by 5.

$$a=-\frac{2x^{2}}{5}+14$$

Variable a cannot be equal to 0.

$$a=-\frac{2x^{2}}{5}+14\text{, }a\neq 0$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{140-10a}}{2}$$

$$x=\frac{\sqrt{140-10a}}{2}\text{, }a\neq 0$$

Solve for x

$$x=\frac{\sqrt{140-10a}}{2}$$

$$x=-\frac{\sqrt{140-10a}}{2}\text{, }a\leq 14\text{ and }a\neq 0$$