Finite Math Examples

Solve for d ad^2-126d+49=(9d-7)^2
Step 1
Simplify .
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Step 1.1
Rewrite.
Step 1.2
Rewrite as .
Step 1.3
Expand using the FOIL Method.
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Step 1.3.1
Apply the distributive property.
Step 1.3.2
Apply the distributive property.
Step 1.3.3
Apply the distributive property.
Step 1.4
Simplify and combine like terms.
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Step 1.4.1
Simplify each term.
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Step 1.4.1.1
Rewrite using the commutative property of multiplication.
Step 1.4.1.2
Multiply by by adding the exponents.
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Step 1.4.1.2.1
Move .
Step 1.4.1.2.2
Multiply by .
Step 1.4.1.3
Multiply by .
Step 1.4.1.4
Multiply by .
Step 1.4.1.5
Multiply by .
Step 1.4.1.6
Multiply by .
Step 1.4.2
Subtract from .
Step 2
Move all terms containing to the left side of the equation.
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Step 2.1
Subtract from both sides of the equation.
Step 2.2
Add to both sides of the equation.
Step 2.3
Combine the opposite terms in .
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Step 2.3.1
Add and .
Step 2.3.2
Add and .
Step 3
Move all terms not containing to the right side of the equation.
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Step 3.1
Subtract from both sides of the equation.
Step 3.2
Subtract from .
Step 4
Factor out of .
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Step 4.1
Factor out of .
Step 4.2
Factor out of .
Step 4.3
Factor out of .
Step 5
Divide each term in by and simplify.
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Step 5.1
Divide each term in by .
Step 5.2
Simplify the left side.
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Step 5.2.1
Cancel the common factor of .
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Step 5.2.1.1
Cancel the common factor.
Step 5.2.1.2
Divide by .
Step 5.3
Simplify the right side.
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Step 5.3.1
Divide by .
Step 6
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 7
Simplify .
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Step 7.1
Rewrite as .
Step 7.2
Pull terms out from under the radical, assuming positive real numbers.
Step 7.3
Plus or minus is .