Algebra Examples

Solve Using the Quadratic Formula (x+9)(x-10)=-86
Step 1
Move all terms to the left side of the equation and simplify.
Tap for more steps...
Step 1.1
Simplify the left side.
Tap for more steps...
Step 1.1.1
Simplify .
Tap for more steps...
Step 1.1.1.1
Expand using the FOIL Method.
Tap for more steps...
Step 1.1.1.1.1
Apply the distributive property.
Step 1.1.1.1.2
Apply the distributive property.
Step 1.1.1.1.3
Apply the distributive property.
Step 1.1.1.2
Simplify and combine like terms.
Tap for more steps...
Step 1.1.1.2.1
Simplify each term.
Tap for more steps...
Step 1.1.1.2.1.1
Multiply by .
Step 1.1.1.2.1.2
Move to the left of .
Step 1.1.1.2.1.3
Multiply by .
Step 1.1.1.2.2
Add and .
Step 1.2
Add to both sides of the equation.
Step 1.3
Add and .
Step 2
Use the quadratic formula to find the solutions.
Step 3
Substitute the values , , and into the quadratic formula and solve for .
Step 4
Simplify.
Tap for more steps...
Step 4.1
Simplify the numerator.
Tap for more steps...
Step 4.1.1
Raise to the power of .
Step 4.1.2
Multiply .
Tap for more steps...
Step 4.1.2.1
Multiply by .
Step 4.1.2.2
Multiply by .
Step 4.1.3
Add and .
Step 4.2
Multiply by .
Step 5
The result can be shown in multiple forms.
Exact Form:
Decimal Form: