Basic Math Examples

Solve for s 16s^2*(40s)=-25
Step 1
Simplify.
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Step 1.1
Multiply by .
Step 1.2
Raise to the power of .
Step 1.3
Use the power rule to combine exponents.
Step 1.4
Add and .
Step 2
Divide each term in by and simplify.
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Step 2.1
Divide each term in by .
Step 2.2
Simplify the left side.
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Step 2.2.1
Cancel the common factor of .
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Step 2.2.1.1
Cancel the common factor.
Step 2.2.1.2
Divide by .
Step 2.3
Simplify the right side.
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Step 2.3.1
Cancel the common factor of and .
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Step 2.3.1.1
Factor out of .
Step 2.3.1.2
Cancel the common factors.
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Step 2.3.1.2.1
Factor out of .
Step 2.3.1.2.2
Cancel the common factor.
Step 2.3.1.2.3
Rewrite the expression.
Step 2.3.2
Move the negative in front of the fraction.
Step 3
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 4
Simplify .
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Step 4.1
Rewrite as .
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Step 4.1.1
Rewrite as .
Step 4.1.2
Factor the perfect power out of .
Step 4.1.3
Factor the perfect power out of .
Step 4.1.4
Rearrange the fraction .
Step 4.1.5
Rewrite as .
Step 4.2
Pull terms out from under the radical.
Step 4.3
Rewrite as .
Step 4.4
Multiply by .
Step 4.5
Combine and simplify the denominator.
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Step 4.5.1
Multiply by .
Step 4.5.2
Raise to the power of .
Step 4.5.3
Use the power rule to combine exponents.
Step 4.5.4
Add and .
Step 4.5.5
Rewrite as .
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Step 4.5.5.1
Use to rewrite as .
Step 4.5.5.2
Apply the power rule and multiply exponents, .
Step 4.5.5.3
Combine and .
Step 4.5.5.4
Cancel the common factor of .
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Step 4.5.5.4.1
Cancel the common factor.
Step 4.5.5.4.2
Rewrite the expression.
Step 4.5.5.5
Evaluate the exponent.
Step 4.6
Simplify the numerator.
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Step 4.6.1
Rewrite as .
Step 4.6.2
Raise to the power of .
Step 4.7
Simplify the numerator.
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Step 4.7.1
Combine using the product rule for radicals.
Step 4.7.2
Multiply by .
Step 4.8
Multiply .
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Step 4.8.1
Multiply by .
Step 4.8.2
Multiply by .
Step 5
The result can be shown in multiple forms.
Exact Form:
Decimal Form: