Basic Math Examples

Solve for u (u+4)^2=2u+5u-12
Step 1
Since is on the right side of the equation, switch the sides so it is on the left side of the equation.
Step 2
Add and .
Step 3
Simplify .
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Step 3.1
Rewrite as .
Step 3.2
Expand using the FOIL Method.
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Step 3.2.1
Apply the distributive property.
Step 3.2.2
Apply the distributive property.
Step 3.2.3
Apply the distributive property.
Step 3.3
Simplify and combine like terms.
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Step 3.3.1
Simplify each term.
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Step 3.3.1.1
Multiply by .
Step 3.3.1.2
Move to the left of .
Step 3.3.1.3
Multiply by .
Step 3.3.2
Add and .
Step 4
Since is on the right side of the equation, switch the sides so it is on the left side of the equation.
Step 5
Move all terms containing to the left side of the equation.
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Step 5.1
Subtract from both sides of the equation.
Step 5.2
Subtract from .
Step 6
Move all terms to the left side of the equation and simplify.
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Step 6.1
Add to both sides of the equation.
Step 6.2
Add and .
Step 7
Use the quadratic formula to find the solutions.
Step 8
Substitute the values , , and into the quadratic formula and solve for .
Step 9
Simplify.
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Step 9.1
Simplify the numerator.
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Step 9.1.1
One to any power is one.
Step 9.1.2
Multiply .
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Step 9.1.2.1
Multiply by .
Step 9.1.2.2
Multiply by .
Step 9.1.3
Subtract from .
Step 9.1.4
Rewrite as .
Step 9.1.5
Rewrite as .
Step 9.1.6
Rewrite as .
Step 9.2
Multiply by .
Step 10
The final answer is the combination of both solutions.