Simplify each term.

Combine and .

Combine and .

To write as a fraction with a common denominator, multiply by .

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Multiply and .

Multiply by .

Combine the numerators over the common denominator.

Simplify each term.

Simplify the numerator.

Factor out of .

Factor out of .

Raise to the power of .

Factor out of .

Factor out of .

Multiply by .

Add and .

Move to the left of .

Add to both sides of the equation.

Add and .

Multiply both sides of the equation by .

Simplify .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Cancel the common factor of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Solve for q 4/5q-2+1/10q=7