Algebra Examples

Solve Using the Quadratic Formula t(4t+1)=0
Step 1
Simplify the left side.
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Step 1.1
Simplify .
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Step 1.1.1
Apply the distributive property.
Step 1.1.2
Simplify the expression.
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Step 1.1.2.1
Rewrite using the commutative property of multiplication.
Step 1.1.2.2
Multiply by .
Step 1.1.3
Multiply by by adding the exponents.
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Step 1.1.3.1
Move .
Step 1.1.3.2
Multiply by .
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.
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Step 4.1
Simplify the numerator.
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Step 4.1.1
One to any power is one.
Step 4.1.2
Multiply .
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Step 4.1.2.1
Multiply by .
Step 4.1.2.2
Multiply by .
Step 4.1.3
Add and .
Step 4.1.4
Any root of is .
Step 4.2
Multiply by .
Step 5
The final answer is the combination of both solutions.