Solve n^23h^2=500-600 c^6250-300

Evaluate

n^{2} \times 3 h^{2} = 500 - 600 c^{6} \times 250 - 300

Use the commutative property to reorder the terms

3 n^{2} h^{2} = 500 - 600 c^{6} \times 250 - 300

Simplify

More Steps

3 n^{2} h^{2} = 200 - 150000 c^{6}

Swap the sides of the equation

200 - 150000 c^{6} = 3 n^{2} h^{2}

Move the constant to the right-hand side and change its sign

- 150000 c^{6} = 3 n^{2} h^{2} - 200

Change the signs on both sides of the equation

150000 c^{6} = - 3 n^{2} h^{2} + 200

Divide both sides

\frac{150000 c ^{6}}{150000} = \frac{- 3 n ^{2} h ^{2} + 200}{150000}

Divide the numbers

c^{6} = \frac{- 3 n ^{2} h ^{2} + 200}{150000}

Take the root of both sides of the equation and remember to use both positive and negative roots

c = \pm 6 \frac{- 3 n ^{2} h ^{2} + 200}{150000}

Simplify the expression

More Steps

c = \pm \frac{6 - 3 \times 15000 0 ^{5} n ^{2} h ^{2} + 200 \times 15000 0 ^{5}}{150000}

Solution

c = \frac{6 - 3 \times 15000 0 ^{5} n ^{2} h ^{2} + 200 \times 15000 0 ^{5}}{150000} c = - \frac{6 - 3 \times 15000 0 ^{5} n ^{2} h ^{2} + 200 \times 15000 0 ^{5}}{150000}

Solve the equation