Basic Math Examples

Solve for w 4+3 square root of 4-3w=13
Step 1
Move all terms not containing to the right 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
To remove the radical on the left side of the equation, square both sides of the equation.
Step 3
Simplify each side of the equation.
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Step 3.1
Use to rewrite as .
Step 3.2
Simplify the left side.
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Step 3.2.1
Simplify .
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Step 3.2.1.1
Apply the product rule to .
Step 3.2.1.2
Raise to the power of .
Step 3.2.1.3
Multiply the exponents in .
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Step 3.2.1.3.1
Apply the power rule and multiply exponents, .
Step 3.2.1.3.2
Cancel the common factor of .
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Step 3.2.1.3.2.1
Cancel the common factor.
Step 3.2.1.3.2.2
Rewrite the expression.
Step 3.2.1.4
Simplify.
Step 3.2.1.5
Apply the distributive property.
Step 3.2.1.6
Multiply.
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Step 3.2.1.6.1
Multiply by .
Step 3.2.1.6.2
Multiply by .
Step 3.3
Simplify the right side.
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Step 3.3.1
Raise to the power of .
Step 4
Solve for .
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Step 4.1
Move all terms not containing to the right side of the equation.
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Step 4.1.1
Subtract from both sides of the equation.
Step 4.1.2
Subtract from .
Step 4.2
Divide each term in by and simplify.
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Step 4.2.1
Divide each term in by .
Step 4.2.2
Simplify the left side.
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Step 4.2.2.1
Cancel the common factor of .
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Step 4.2.2.1.1
Cancel the common factor.
Step 4.2.2.1.2
Divide by .
Step 4.2.3
Simplify the right side.
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Step 4.2.3.1
Cancel the common factor of and .
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Step 4.2.3.1.1
Factor out of .
Step 4.2.3.1.2
Cancel the common factors.
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Step 4.2.3.1.2.1
Factor out of .
Step 4.2.3.1.2.2
Cancel the common factor.
Step 4.2.3.1.2.3
Rewrite the expression.
Step 4.2.3.2
Move the negative in front of the fraction.
Step 5
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: