Basic Math Examples

Solve for t 36t+((h-g)/t)=d
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
Multiply by by adding the exponents.
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Step 2.2.1.1.1
Move .
Step 2.2.1.1.2
Multiply by .
Step 2.2.1.2
Cancel the common factor of .
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Step 2.2.1.2.1
Cancel the common factor.
Step 2.2.1.2.2
Rewrite the expression.
Step 3
Solve the equation.
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Step 3.1
Subtract from 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
Apply the product rule to .
Step 3.4.1.2
Raise to the power of .
Step 3.4.1.3
Multiply by .
Step 3.4.1.4
Multiply by .
Step 3.4.1.5
Apply the distributive property.
Step 3.4.1.6
Multiply by .
Step 3.4.2
Multiply by .
Step 3.5
The final answer is the combination of both solutions.