Pre-Algebra Examples

Solve Using the Square Root Property 2^(X+3)+4^(X+1)-320=0
Step 1
Factor the left side of the equation.
Tap for more steps...
Step 1.1
Rewrite as .
Step 1.2
Rewrite as .
Step 1.3
Rewrite as .
Step 1.4
Rewrite as .
Step 1.5
Let . Substitute for all occurrences of .
Tap for more steps...
Step 1.5.1
Raise to the power of .
Step 1.5.2
Move to the left of .
Step 1.5.3
Move to the left of .
Step 1.6
Factor out of .
Tap for more steps...
Step 1.6.1
Factor out of .
Step 1.6.2
Factor out of .
Step 1.6.3
Factor out of .
Step 1.6.4
Factor out of .
Step 1.6.5
Factor out of .
Step 1.7
Factor.
Tap for more steps...
Step 1.7.1
Factor using the AC method.
Tap for more steps...
Step 1.7.1.1
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 1.7.1.2
Write the factored form using these integers.
Step 1.7.2
Remove unnecessary parentheses.
Step 1.8
Replace all occurrences of with .
Step 2
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Step 3
Set equal to and solve for .
Tap for more steps...
Step 3.1
Set equal to .
Step 3.2
Solve for .
Tap for more steps...
Step 3.2.1
Add to both sides of the equation.
Step 3.2.2
Create equivalent expressions in the equation that all have equal bases.
Step 3.2.3
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
Step 4
Set equal to and solve for .
Tap for more steps...
Step 4.1
Set equal to .
Step 4.2
Solve for .
Tap for more steps...
Step 4.2.1
Subtract from both sides of the equation.
Step 4.2.2
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
Step 4.2.3
The equation cannot be solved because is undefined.
Undefined
Step 4.2.4
There is no solution for
No solution
No solution
No solution
Step 5
The final solution is all the values that make true.