Finite Math Examples

Solve by Factoring Q=-4Q^2+200Q+20000
Step 1
Move all the expressions to the left side of the equation.
Tap for more steps...
Step 1.1
Add to both sides of the equation.
Step 1.2
Subtract from both sides of the equation.
Step 1.3
Subtract from both sides of the equation.
Step 2
Subtract from .
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
Add and .
Step 5.2
Multiply by .
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
Add and .
Step 6.2
Multiply by .
Step 6.3
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
Add and .
Step 7.2
Multiply by .
Step 7.3
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: