Pre-Algebra Examples

Solve for c c-1/(4c)=49.95
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
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
Simplify each term.
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Step 2.2.1.1
Rewrite using the commutative property of multiplication.
Step 2.2.1.2
Multiply by by adding the exponents.
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Step 2.2.1.2.1
Move .
Step 2.2.1.2.2
Multiply by .
Step 2.2.1.3
Cancel the common factor of .
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Step 2.2.1.3.1
Move the leading negative in into the numerator.
Step 2.2.1.3.2
Cancel the common factor.
Step 2.2.1.3.3
Rewrite the expression.
Step 2.3
Simplify the right side.
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Step 2.3.1
Multiply by .
Step 3
Solve the equation.
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Step 3.1
Subtract from both sides of the equation.
Step 3.2
Factor the left side of the equation.
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Step 3.2.1
Reorder terms.
Step 3.2.2
Factor out of .
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Step 3.2.2.1
Factor out of .
Step 3.2.2.2
Factor out of .
Step 3.2.2.3
Factor out of .
Step 3.2.2.4
Factor out of .
Step 3.2.2.5
Factor out of .
Step 3.3
Divide each term in by and simplify.
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Step 3.3.1
Divide each term in by .
Step 3.3.2
Simplify the left side.
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Step 3.3.2.1
Cancel the common factor of .
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Step 3.3.2.1.1
Cancel the common factor.
Step 3.3.2.1.2
Divide by .
Step 3.3.3
Simplify the right side.
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Step 3.3.3.1
Divide by .
Step 3.4
Use the quadratic formula to find the solutions.
Step 3.5
Substitute the values , , and into the quadratic formula and solve for .
Step 3.6
Simplify.
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Step 3.6.1
Simplify the numerator.
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Step 3.6.1.1
Raise to the power of .
Step 3.6.1.2
Multiply .
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Step 3.6.1.2.1
Multiply by .
Step 3.6.1.2.2
Multiply by .
Step 3.6.1.3
Add and .
Step 3.6.2
Multiply by .
Step 3.7
The final answer is the combination of both solutions.
Step 4
The result can be shown in multiple forms.
Exact Form:
Decimal Form: