Pre-Algebra Examples

Solve Using the Square Root Property (3(x^2))/2=24
Step 1
Multiply both sides of the equation by .
Step 2
Simplify both sides of the equation.
Tap for more steps...
Step 2.1
Simplify the left side.
Tap for more steps...
Step 2.1.1
Simplify .
Tap for more steps...
Step 2.1.1.1
Combine.
Step 2.1.1.2
Cancel the common factor of .
Tap for more steps...
Step 2.1.1.2.1
Cancel the common factor.
Step 2.1.1.2.2
Rewrite the expression.
Step 2.1.1.3
Cancel the common factor of .
Tap for more steps...
Step 2.1.1.3.1
Cancel the common factor.
Step 2.1.1.3.2
Divide by .
Step 2.2
Simplify the right side.
Tap for more steps...
Step 2.2.1
Simplify .
Tap for more steps...
Step 2.2.1.1
Cancel the common factor of .
Tap for more steps...
Step 2.2.1.1.1
Factor out of .
Step 2.2.1.1.2
Cancel the common factor.
Step 2.2.1.1.3
Rewrite the expression.
Step 2.2.1.2
Multiply by .
Step 3
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 4
Simplify .
Tap for more steps...
Step 4.1
Rewrite as .
Step 4.2
Pull terms out from under the radical, assuming positive real numbers.
Step 5
The complete solution is the result of both the positive and negative portions of the solution.
Tap for more steps...
Step 5.1
First, use the positive value of the to find the first solution.
Step 5.2
Next, use the negative value of the to find the second solution.
Step 5.3
The complete solution is the result of both the positive and negative portions of the solution.