Basic Math Examples

Solve for t 0=0+15t+0.5*(-9.81)*t^2
Step 1
Rewrite the equation as .
Step 2
Simplify .
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Step 2.1
Add and .
Step 2.2
Multiply by .
Step 3
Factor the left side of the equation.
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Step 3.1
Let . Substitute for all occurrences of .
Step 3.2
Factor out of .
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Step 3.2.1
Factor out of .
Step 3.2.2
Factor out of .
Step 3.2.3
Factor out of .
Step 3.3
Replace all occurrences of with .
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 .
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
Subtract from both sides of the equation.
Step 6.2.2
Divide each term in by and simplify.
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Step 6.2.2.1
Divide each term in by .
Step 6.2.2.2
Simplify the left side.
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Step 6.2.2.2.1
Cancel the common factor of .
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Step 6.2.2.2.1.1
Cancel the common factor.
Step 6.2.2.2.1.2
Divide by .
Step 6.2.2.3
Simplify the right side.
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Step 6.2.2.3.1
Dividing two negative values results in a positive value.
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:
Mixed Number Form: