Basic Math Examples

Solve for t 300=4.9t^2+5t
Step 1
Rewrite the equation as .
Step 2
Subtract from both sides of the equation.
Step 3
Factor out of .
Tap for more steps...
Step 3.1
Factor out of .
Step 3.2
Factor out of .
Step 3.3
Factor out of .
Step 3.4
Factor out of .
Step 3.5
Factor out of .
Step 4
Divide each term in by and simplify.
Tap for more steps...
Step 4.1
Divide each term in by .
Step 4.2
Simplify the left side.
Tap for more steps...
Step 4.2.1
Cancel the common factor of .
Tap for more steps...
Step 4.2.1.1
Cancel the common factor.
Step 4.2.1.2
Divide by .
Step 4.3
Simplify the right side.
Tap for more steps...
Step 4.3.1
Divide by .
Step 5
Use the quadratic formula to find the solutions.
Step 6
Substitute the values , , and into the quadratic formula and solve for .
Step 7
Simplify.
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
Add and .
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 8
The final answer is the combination of both solutions.
Step 9
The result can be shown in multiple forms.
Exact Form:
Decimal Form: