Basic Math Examples

Solve for l y=6v((l+3a)/(g-2a))
Step 1
Rewrite the equation as .
Step 2
Simplify .
Tap for more steps...
Step 2.1
Multiply .
Tap for more steps...
Step 2.1.1
Combine and .
Step 2.1.2
Combine and .
Step 2.2
Move to the left of .
Step 3
Multiply both sides by .
Step 4
Simplify.
Tap for more steps...
Step 4.1
Simplify the left side.
Tap for more steps...
Step 4.1.1
Simplify .
Tap for more steps...
Step 4.1.1.1
Cancel the common factor of .
Tap for more steps...
Step 4.1.1.1.1
Cancel the common factor.
Step 4.1.1.1.2
Rewrite the expression.
Step 4.1.1.2
Apply the distributive property.
Step 4.1.1.3
Simplify the expression.
Tap for more steps...
Step 4.1.1.3.1
Rewrite using the commutative property of multiplication.
Step 4.1.1.3.2
Multiply by .
Step 4.1.1.3.3
Move .
Step 4.1.1.3.4
Move .
Step 4.1.1.3.5
Reorder and .
Step 4.2
Simplify the right side.
Tap for more steps...
Step 4.2.1
Simplify .
Tap for more steps...
Step 4.2.1.1
Apply the distributive property.
Step 4.2.1.2
Simplify the expression.
Tap for more steps...
Step 4.2.1.2.1
Rewrite using the commutative property of multiplication.
Step 4.2.1.2.2
Reorder and .
Step 4.2.1.2.3
Move .
Step 4.2.1.2.4
Reorder and .
Step 5
Solve for .
Tap for more steps...
Step 5.1
Subtract from both sides of the equation.
Step 5.2
Divide each term in by and simplify.
Tap for more steps...
Step 5.2.1
Divide each term in by .
Step 5.2.2
Simplify the left side.
Tap for more steps...
Step 5.2.2.1
Cancel the common factor of .
Tap for more steps...
Step 5.2.2.1.1
Cancel the common factor.
Step 5.2.2.1.2
Rewrite the expression.
Step 5.2.2.2
Cancel the common factor of .
Tap for more steps...
Step 5.2.2.2.1
Cancel the common factor.
Step 5.2.2.2.2
Divide by .
Step 5.2.3
Simplify the right side.
Tap for more steps...
Step 5.2.3.1
Simplify each term.
Tap for more steps...
Step 5.2.3.1.1
Cancel the common factor of and .
Tap for more steps...
Step 5.2.3.1.1.1
Factor out of .
Step 5.2.3.1.1.2
Cancel the common factors.
Tap for more steps...
Step 5.2.3.1.1.2.1
Factor out of .
Step 5.2.3.1.1.2.2
Cancel the common factor.
Step 5.2.3.1.1.2.3
Rewrite the expression.
Step 5.2.3.1.2
Move the negative in front of the fraction.
Step 5.2.3.1.3
Cancel the common factor of and .
Tap for more steps...
Step 5.2.3.1.3.1
Factor out of .
Step 5.2.3.1.3.2
Cancel the common factors.
Tap for more steps...
Step 5.2.3.1.3.2.1
Factor out of .
Step 5.2.3.1.3.2.2
Cancel the common factor.
Step 5.2.3.1.3.2.3
Rewrite the expression.
Step 5.2.3.1.4
Cancel the common factor of .
Tap for more steps...
Step 5.2.3.1.4.1
Cancel the common factor.
Step 5.2.3.1.4.2
Divide by .