Basic Math Examples

Solve for L w=(p-2L)/2
w=p-2L2w=p2L2
Step 1
Rewrite the equation as p-2L2=w.
p-2L2=w
Step 2
Multiply both sides by 2.
p-2L22=w2
Step 3
Simplify.
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Step 3.1
Simplify the left side.
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Step 3.1.1
Simplify p-2L22.
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Step 3.1.1.1
Cancel the common factor of 2.
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Step 3.1.1.1.1
Cancel the common factor.
p-2L22=w2
Step 3.1.1.1.2
Rewrite the expression.
p-2L=w2
p-2L=w2
Step 3.1.1.2
Reorder p and -2L.
-2L+p=w2
-2L+p=w2
-2L+p=w2
Step 3.2
Simplify the right side.
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Step 3.2.1
Move 2 to the left of w.
-2L+p=2w
-2L+p=2w
-2L+p=2w
Step 4
Solve for L.
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Step 4.1
Subtract p from both sides of the equation.
-2L=2w-p
Step 4.2
Divide each term in -2L=2w-p by -2 and simplify.
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Step 4.2.1
Divide each term in -2L=2w-p by -2.
-2L-2=2w-2+-p-2
Step 4.2.2
Simplify the left side.
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Step 4.2.2.1
Cancel the common factor of -2.
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Step 4.2.2.1.1
Cancel the common factor.
-2L-2=2w-2+-p-2
Step 4.2.2.1.2
Divide L by 1.
L=2w-2+-p-2
L=2w-2+-p-2
L=2w-2+-p-2
Step 4.2.3
Simplify the right side.
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Step 4.2.3.1
Simplify each term.
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Step 4.2.3.1.1
Cancel the common factor of 2 and -2.
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Step 4.2.3.1.1.1
Factor 2 out of 2w.
L=2(w)-2+-p-2
Step 4.2.3.1.1.2
Move the negative one from the denominator of w-1.
L=-1w+-p-2
L=-1w+-p-2
Step 4.2.3.1.2
Rewrite -1w as -w.
L=-w+-p-2
Step 4.2.3.1.3
Dividing two negative values results in a positive value.
L=-w+p2
L=-w+p2
L=-w+p2
L=-w+p2
L=-w+p2
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