Pre-Algebra Examples

Solve by Graphing (4p+8)/24-(2p-9)/6-(p+3)/18=0
Step 1
Simplify .
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Step 1.1
Find the common denominator.
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Step 1.1.1
Multiply by .
Step 1.1.2
Multiply by .
Step 1.1.3
Multiply by .
Step 1.1.4
Multiply by .
Step 1.1.5
Multiply by .
Step 1.1.6
Multiply by .
Step 1.1.7
Reorder the factors of .
Step 1.1.8
Multiply by .
Step 1.1.9
Multiply by .
Step 1.1.10
Reorder the factors of .
Step 1.1.11
Multiply by .
Step 1.2
Combine the numerators over the common denominator.
Step 1.3
Simplify each term.
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Step 1.3.1
Apply the distributive property.
Step 1.3.2
Multiply by .
Step 1.3.3
Multiply by .
Step 1.3.4
Apply the distributive property.
Step 1.3.5
Multiply by .
Step 1.3.6
Multiply by .
Step 1.3.7
Apply the distributive property.
Step 1.3.8
Multiply by .
Step 1.3.9
Multiply by .
Step 1.3.10
Apply the distributive property.
Step 1.3.11
Multiply by .
Step 1.3.12
Apply the distributive property.
Step 1.3.13
Multiply by .
Step 1.3.14
Multiply by .
Step 1.4
Simplify terms.
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Step 1.4.1
Subtract from .
Step 1.4.2
Subtract from .
Step 1.4.3
Simplify by adding and subtracting.
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Step 1.4.3.1
Add and .
Step 1.4.3.2
Subtract from .
Step 1.4.4
Cancel the common factor of and .
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Step 1.4.4.1
Factor out of .
Step 1.4.4.2
Factor out of .
Step 1.4.4.3
Factor out of .
Step 1.4.4.4
Cancel the common factors.
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Step 1.4.4.4.1
Factor out of .
Step 1.4.4.4.2
Cancel the common factor.
Step 1.4.4.4.3
Rewrite the expression.
Step 1.4.5
Factor out of .
Step 1.4.6
Rewrite as .
Step 1.4.7
Factor out of .
Step 1.4.8
Simplify the expression.
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Step 1.4.8.1
Rewrite as .
Step 1.4.8.2
Move the negative in front of the fraction.
Step 2
Graph each side of the equation. The solution is the x-value of the point of intersection.
Step 3