Basic Math Examples

Solve for H 10H-0.5H^2=0.5H^2
Step 1
Move all terms containing to the left side of the equation.
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Step 1.1
Subtract from both sides of the equation.
Step 1.2
Subtract from .
Step 2
Factor the left side of the equation.
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Step 2.1
Let . Substitute for all occurrences of .
Step 2.2
Factor out of .
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Step 2.2.1
Factor out of .
Step 2.2.2
Factor out of .
Step 2.2.3
Factor out of .
Step 2.3
Factor.
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Step 2.3.1
Factor out of .
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Step 2.3.1.1
Rewrite as .
Step 2.3.1.2
Factor out of .
Step 2.3.1.3
Factor out of .
Step 2.3.2
Remove unnecessary parentheses.
Step 2.4
Multiply by .
Step 2.5
Replace all occurrences of with .
Step 3
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Step 4
Set 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
Subtract from both sides of the equation.
Step 5.2.2
Divide each term in by and simplify.
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Step 5.2.2.1
Divide each term in by .
Step 5.2.2.2
Simplify the left side.
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Step 5.2.2.2.1
Dividing two negative values results in a positive value.
Step 5.2.2.2.2
Divide by .
Step 5.2.2.3
Simplify the right side.
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Step 5.2.2.3.1
Divide by .
Step 6
The final solution is all the values that make true.