Basic Math Examples

Solve for v -3 square root of 2v=18
Step 1
To remove the radical on the left side of the equation, square both sides of the equation.
Step 2
Simplify each side of the equation.
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Step 2.1
Use to rewrite as .
Step 2.2
Simplify the left side.
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Step 2.2.1
Simplify .
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Step 2.2.1.1
Apply the product rule to .
Step 2.2.1.2
Use the power rule to distribute the exponent.
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Step 2.2.1.2.1
Apply the product rule to .
Step 2.2.1.2.2
Apply the product rule to .
Step 2.2.1.3
Raise to the power of .
Step 2.2.1.4
Multiply the exponents in .
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Step 2.2.1.4.1
Apply the power rule and multiply exponents, .
Step 2.2.1.4.2
Cancel the common factor of .
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Step 2.2.1.4.2.1
Cancel the common factor.
Step 2.2.1.4.2.2
Rewrite the expression.
Step 2.2.1.5
Evaluate the exponent.
Step 2.2.1.6
Multiply by .
Step 2.2.1.7
Multiply the exponents in .
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Step 2.2.1.7.1
Apply the power rule and multiply exponents, .
Step 2.2.1.7.2
Cancel the common factor of .
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Step 2.2.1.7.2.1
Cancel the common factor.
Step 2.2.1.7.2.2
Rewrite the expression.
Step 2.2.1.8
Simplify.
Step 2.3
Simplify the right side.
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Step 2.3.1
Raise to the power of .
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
Divide by .
Step 4
Exclude the solutions that do not make true.