Finite Math Examples

Solve for x 5x(10-3x)=15
Step 1
Divide each term in by and simplify.
Tap for more steps...
Step 1.1
Divide each term in by .
Step 1.2
Simplify the left side.
Tap for more steps...
Step 1.2.1
Simplify terms.
Tap for more steps...
Step 1.2.1.1
Cancel the common factor of .
Tap for more steps...
Step 1.2.1.1.1
Cancel the common factor.
Step 1.2.1.1.2
Divide by .
Step 1.2.1.2
Apply the distributive property.
Step 1.2.1.3
Reorder.
Tap for more steps...
Step 1.2.1.3.1
Move to the left of .
Step 1.2.1.3.2
Rewrite using the commutative property of multiplication.
Step 1.2.2
Multiply by by adding the exponents.
Tap for more steps...
Step 1.2.2.1
Move .
Step 1.2.2.2
Multiply by .
Step 1.3
Simplify the right side.
Tap for more steps...
Step 1.3.1
Divide by .
Step 2
Subtract from both sides of the equation.
Step 3
Factor the left side of the equation.
Tap for more steps...
Step 3.1
Factor out of .
Tap for more steps...
Step 3.1.1
Reorder and .
Step 3.1.2
Factor out of .
Step 3.1.3
Factor out of .
Step 3.1.4
Rewrite as .
Step 3.1.5
Factor out of .
Step 3.1.6
Factor out of .
Step 3.2
Factor.
Tap for more steps...
Step 3.2.1
Factor by grouping.
Tap for more steps...
Step 3.2.1.1
For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
Tap for more steps...
Step 3.2.1.1.1
Factor out of .
Step 3.2.1.1.2
Rewrite as plus
Step 3.2.1.1.3
Apply the distributive property.
Step 3.2.1.2
Factor out the greatest common factor from each group.
Tap for more steps...
Step 3.2.1.2.1
Group the first two terms and the last two terms.
Step 3.2.1.2.2
Factor out the greatest common factor (GCF) from each group.
Step 3.2.1.3
Factor the polynomial by factoring out the greatest common factor, .
Step 3.2.2
Remove unnecessary parentheses.
Step 4
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Step 5
Set equal to and solve for .
Tap for more steps...
Step 5.1
Set equal to .
Step 5.2
Solve for .
Tap for more steps...
Step 5.2.1
Add to both sides of the equation.
Step 5.2.2
Divide each term in by and simplify.
Tap for more steps...
Step 5.2.2.1
Divide each term in by .
Step 5.2.2.2
Simplify the left side.
Tap for more steps...
Step 5.2.2.2.1
Cancel the common factor of .
Tap for more steps...
Step 5.2.2.2.1.1
Cancel the common factor.
Step 5.2.2.2.1.2
Divide by .
Step 6
Set equal to and solve for .
Tap for more steps...
Step 6.1
Set equal to .
Step 6.2
Add to both sides of the equation.
Step 7
The final solution is all the values that make true.
Step 8
The result can be shown in multiple forms.
Exact Form:
Decimal Form: