Solve 300*0n^2/2=78*3000*(430-x)

$$300 \times 0 n ^ { 2 } / 2 = 78 \times 3000 \times ( 430 - x )$$

Solve for x

$$x=430$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$300\times 0n^{2}=156\times 3000\left(430-x\right)$$

Multiply 300 and 0 to get 0.

$$0n^{2}=156\times 3000\left(430-x\right)$$

Anything times zero gives zero.

$$0=156\times 3000\left(430-x\right)$$

Multiply 156 and 3000 to get 468000.

$$0=468000\left(430-x\right)$$

Use the distributive property to multiply 468000 by 430-x.

$$0=201240000-468000x$$

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

$$201240000-468000x=0$$

Subtract 201240000 from both sides. Anything subtracted from zero gives its negation.

$$-468000x=-201240000$$

Divide both sides by -468000.

$$x=\frac{-201240000}{-468000}$$

Divide -201240000 by -468000 to get 430.

$$x=430$$

Solve for n (complex solution)

$$n\in \mathrm{C}$$

$$x=430$$

Solve for n

$$n\in \mathrm{R}$$

$$x=430$$