Basic Math Examples

Solve for c c=(y-2)/(c+5)
Step 1
Find the LCD of the terms in the equation.
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Step 1.1
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
Step 1.2
Remove parentheses.
Step 1.3
The LCM of one and any expression is the expression.
Step 2
Multiply each term in by to eliminate the fractions.
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Step 2.1
Multiply each term in by .
Step 2.2
Simplify the left side.
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Step 2.2.1
Apply the distributive property.
Step 2.2.2
Simplify the expression.
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Step 2.2.2.1
Multiply by .
Step 2.2.2.2
Move to the left of .
Step 2.3
Simplify the right side.
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Step 2.3.1
Cancel the common factor of .
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Step 2.3.1.1
Cancel the common factor.
Step 2.3.1.2
Rewrite the expression.
Step 3
Solve the equation.
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Step 3.1
Move all the expressions to the left side of the equation.
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Step 3.1.1
Subtract from both sides of the equation.
Step 3.1.2
Add to both sides of the equation.
Step 3.2
Use the quadratic formula to find the solutions.
Step 3.3
Substitute the values , , and into the quadratic formula and solve for .
Step 3.4
Simplify.
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Step 3.4.1
Simplify the numerator.
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Step 3.4.1.1
Raise to the power of .
Step 3.4.1.2
Multiply by .
Step 3.4.1.3
Apply the distributive property.
Step 3.4.1.4
Multiply by .
Step 3.4.1.5
Multiply by .
Step 3.4.1.6
Subtract from .
Step 3.4.2
Multiply by .
Step 3.5
The final answer is the combination of both solutions.