Rewrite the equation as .

Multiply both sides of the equation by .

Simplify .

Simplify terms.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Multiply by .

Apply the distributive property.

Reorder.

Move to the left of .

Rewrite using the commutative property of multiplication.

Multiply by by adding the exponents.

Move .

Multiply by .

Multiply by .

Move to the left side of the equation by subtracting it from both sides.

Let . Substitute for all occurrences of .

Factor by grouping.

Reorder terms.

For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .

Factor out of .

Rewrite as plus

Apply the distributive property.

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

Factor out the greatest common factor (GCF) from each group.

Factor the polynomial by factoring out the greatest common factor, .

Replace all occurrences of with .

Replace the left side with the factored expression.

If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .

Set the first factor equal to .

Subtract from both sides of the equation.

Multiply each term in by

Multiply each term in by .

Multiply .

Multiply by .

Multiply by .

Multiply by .

Set the next factor equal to .

Add to both sides of the equation.

The final solution is all the values that make true.

Solve for x 1250=1/10x(300-x)