Pre-Algebra Examples

Solve Using the Square Root Property x(x-3)=7x+24
Step 1
Simplify .
Tap for more steps...
Step 1.1
Rewrite.
Step 1.2
Simplify by adding zeros.
Step 1.3
Apply the distributive property.
Step 1.4
Simplify the expression.
Tap for more steps...
Step 1.4.1
Multiply by .
Step 1.4.2
Move to the left of .
Step 2
Move all terms containing to the left side of the equation.
Tap for more steps...
Step 2.1
Subtract from both sides of the equation.
Step 2.2
Subtract from .
Step 3
Subtract from both sides of the equation.
Step 4
Factor using the AC method.
Tap for more steps...
Step 4.1
Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Step 4.2
Write the factored form using these integers.
Step 5
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
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
Set equal to and solve for .
Tap for more steps...
Step 7.1
Set equal to .
Step 7.2
Subtract from both sides of the equation.
Step 8
The final solution is all the values that make true.