Finite Math Examples

Solve for x (x^2)/(0.05-x)=3.1*10^-8
Step 1
Factor each term.
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Step 1.1
Factor out of .
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Step 1.1.1
Factor out of .
Step 1.1.2
Factor out of .
Step 1.1.3
Factor out of .
Step 1.2
Multiply by .
Step 1.3
Separate fractions.
Step 1.4
Divide by .
Step 1.5
Combine and .
Step 2
Find the LCD of the terms in the equation.
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Step 2.1
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
Step 2.2
Remove parentheses.
Step 2.3
The LCM of one and any expression is the expression.
Step 3
Multiply each term in by to eliminate the fractions.
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Step 3.1
Multiply each term in by .
Step 3.2
Simplify the left side.
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Step 3.2.1
Cancel the common factor of .
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Step 3.2.1.1
Cancel the common factor.
Step 3.2.1.2
Rewrite the expression.
Step 3.3
Simplify the right side.
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Step 3.3.1
Apply the distributive property.
Step 3.3.2
Multiply.
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Step 3.3.2.1
Multiply by .
Step 3.3.2.2
Multiply by .
Step 3.3.3
Move the decimal point in to the left by place and increase the power of by .
Step 3.3.4
Reorder factors in .
Step 4
Solve the equation.
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Step 4.1
Simplify each term.
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Step 4.1.1
Rewrite the expression using the negative exponent rule .
Step 4.1.2
Raise to the power of .
Step 4.1.3
Multiply .
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Step 4.1.3.1
Combine and .
Step 4.1.3.2
Combine and .
Step 4.1.4
Move to the left of .
Step 4.1.5
Move the negative in front of the fraction.
Step 4.1.6
Factor out of .
Step 4.1.7
Factor out of .
Step 4.1.8
Separate fractions.
Step 4.1.9
Divide by .
Step 4.1.10
Divide by .
Step 4.1.11
Multiply by .
Step 4.2
Add to both sides of the equation.
Step 4.3
Subtract from both sides of the equation.
Step 4.4
Factor the left side of the equation.
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Step 4.4.1
Factor out of .
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Step 4.4.1.1
Factor out of .
Step 4.4.1.2
Factor out of .
Step 4.4.1.3
Factor out of .
Step 4.4.1.4
Factor out of .
Step 4.4.1.5
Factor out of .
Step 4.4.2
Move the decimal point in to the left by places and increase the power of by .
Step 4.4.3
Convert from scientific notation.
Step 4.5
Divide each term in by and simplify.
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Step 4.5.1
Divide each term in by .
Step 4.5.2
Simplify the left side.
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Step 4.5.2.1
Cancel the common factor of .
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Step 4.5.2.1.1
Cancel the common factor.
Step 4.5.2.1.2
Divide by .
Step 4.5.3
Simplify the right side.
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Step 4.5.3.1
Divide by .
Step 4.6
Use the quadratic formula to find the solutions.
Step 4.7
Substitute the values , , and into the quadratic formula and solve for .
Step 4.8
Simplify.
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Step 4.8.1
Simplify the numerator.
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Step 4.8.1.1
Raise to the power of .
Step 4.8.1.2
Multiply .
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Step 4.8.1.2.1
Multiply by .
Step 4.8.1.2.2
Multiply by .
Step 4.8.1.3
Add and .
Step 4.8.2
Multiply by .
Step 4.9
The final answer is the combination of both solutions.
Step 5
The result can be shown in multiple forms.
Exact Form:
Decimal Form: