Basic Math Examples

Solve for a 4a^4=8a^3+4a^2
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
Subtract from both sides of the equation.
Step 3
Factor out of .
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Step 3.1
Reorder the expression.
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Step 3.1.1
Move .
Step 3.1.2
Reorder and .
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 3.6
Factor out of .
Step 4
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Step 5
Set equal to and solve for .
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Step 5.1
Set equal to .
Step 5.2
Solve for .
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Step 5.2.1
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 5.2.2
Simplify .
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Step 5.2.2.1
Rewrite as .
Step 5.2.2.2
Pull terms out from under the radical, assuming positive real numbers.
Step 5.2.2.3
Plus or minus is .
Step 6
Set equal to and solve for .
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Step 6.1
Set equal to .
Step 6.2
Solve for .
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Step 6.2.1
Use the quadratic formula to find the solutions.
Step 6.2.2
Substitute the values , , and into the quadratic formula and solve for .
Step 6.2.3
Simplify.
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Step 6.2.3.1
Simplify the numerator.
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Step 6.2.3.1.1
Raise to the power of .
Step 6.2.3.1.2
Multiply .
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Step 6.2.3.1.2.1
Multiply by .
Step 6.2.3.1.2.2
Multiply by .
Step 6.2.3.1.3
Add and .
Step 6.2.3.1.4
Rewrite as .
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Step 6.2.3.1.4.1
Factor out of .
Step 6.2.3.1.4.2
Rewrite as .
Step 6.2.3.1.5
Pull terms out from under the radical.
Step 6.2.3.2
Multiply by .
Step 6.2.3.3
Simplify .
Step 6.2.4
The final answer is the combination of both solutions.
Step 7
The final solution is all the values that make true.
Step 8
The result can be shown in multiple forms.
Exact Form:
Decimal Form: