Pre-Algebra Examples

Solve Using the Square Root Property 0.06x(12720-x)=12
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
Use the quadratic formula to find the solutions.
Step 4
Substitute the values , , and into the quadratic formula and solve for .
Step 5
Simplify.
Tap for more steps...
Step 5.1
Simplify the numerator.
Tap for more steps...
Step 5.1.1
Raise to the power of .
Step 5.1.2
Multiply .
Tap for more steps...
Step 5.1.2.1
Multiply by .
Step 5.1.2.2
Multiply by .
Step 5.1.3
Subtract from .
Step 5.1.4
Rewrite as .
Tap for more steps...
Step 5.1.4.1
Factor out of .
Step 5.1.4.2
Rewrite as .
Step 5.1.5
Pull terms out from under the radical.
Step 5.2
Multiply by .
Step 5.3
Simplify .
Step 6
Simplify the expression to solve for the portion of the .
Tap for more steps...
Step 6.1
Simplify the numerator.
Tap for more steps...
Step 6.1.1
Raise to the power of .
Step 6.1.2
Multiply .
Tap for more steps...
Step 6.1.2.1
Multiply by .
Step 6.1.2.2
Multiply by .
Step 6.1.3
Subtract from .
Step 6.1.4
Rewrite as .
Tap for more steps...
Step 6.1.4.1
Factor out of .
Step 6.1.4.2
Rewrite as .
Step 6.1.5
Pull terms out from under the radical.
Step 6.2
Multiply by .
Step 6.3
Simplify .
Step 6.4
Change the to .
Step 7
Simplify the expression to solve for the portion of the .
Tap for more steps...
Step 7.1
Simplify the numerator.
Tap for more steps...
Step 7.1.1
Raise to the power of .
Step 7.1.2
Multiply .
Tap for more steps...
Step 7.1.2.1
Multiply by .
Step 7.1.2.2
Multiply by .
Step 7.1.3
Subtract from .
Step 7.1.4
Rewrite as .
Tap for more steps...
Step 7.1.4.1
Factor out of .
Step 7.1.4.2
Rewrite as .
Step 7.1.5
Pull terms out from under the radical.
Step 7.2
Multiply by .
Step 7.3
Simplify .
Step 7.4
Change the to .
Step 8
The final answer is the combination of both solutions.
Step 9
The result can be shown in multiple forms.
Exact Form:
Decimal Form: