Pre-Algebra Examples

Solve for t s=-16t^2+676
Step 1
Rewrite the equation as .
Step 2
Subtract from both sides of the equation.
Step 3
Divide each term in by and simplify.
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Step 3.1
Divide each term in by .
Step 3.2
Simplify the left side.
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Step 3.2.1
Cancel the common factor of .
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Step 3.2.1.1
Cancel the common factor.
Step 3.2.1.2
Divide by .
Step 3.3
Simplify the right side.
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Step 3.3.1
Simplify each term.
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Step 3.3.1.1
Move the negative in front of the fraction.
Step 3.3.1.2
Cancel the common factor of and .
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Step 3.3.1.2.1
Factor out of .
Step 3.3.1.2.2
Cancel the common factors.
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Step 3.3.1.2.2.1
Factor out of .
Step 3.3.1.2.2.2
Cancel the common factor.
Step 3.3.1.2.2.3
Rewrite the expression.
Step 4
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 5
Simplify .
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Step 5.1
To write as a fraction with a common denominator, multiply by .
Step 5.2
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 5.2.1
Multiply by .
Step 5.2.2
Multiply by .
Step 5.3
Combine the numerators over the common denominator.
Step 5.4
Multiply by .
Step 5.5
Rewrite as .
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Step 5.5.1
Factor the perfect power out of .
Step 5.5.2
Factor the perfect power out of .
Step 5.5.3
Rearrange the fraction .
Step 5.6
Pull terms out from under the radical.
Step 5.7
Combine and .
Step 6
The complete solution is the result of both the positive and negative portions of the solution.
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Step 6.1
First, use the positive value of the to find the first solution.
Step 6.2
Next, use the negative value of the to find the second solution.
Step 6.3
The complete solution is the result of both the positive and negative portions of the solution.