Pre-Algebra Examples

Solve Using the Square Root Property 2(n+7)*(4n)=-2n+14
Step 1
Simplify .
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Step 1.1
Rewrite.
Step 1.2
Simplify by multiplying through.
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Step 1.2.1
Apply the distributive property.
Step 1.2.2
Multiply by .
Step 1.2.3
Apply the distributive property.
Step 1.2.4
Simplify the expression.
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Step 1.2.4.1
Rewrite using the commutative property of multiplication.
Step 1.2.4.2
Multiply by .
Step 1.3
Simplify each term.
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Step 1.3.1
Multiply by by adding the exponents.
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Step 1.3.1.1
Move .
Step 1.3.1.2
Multiply by .
Step 1.3.2
Multiply by .
Step 2
Move all terms containing to the left side of the equation.
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Step 2.1
Add to both sides of the equation.
Step 2.2
Add and .
Step 3
Subtract from both sides of the equation.
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 4.4
Factor out of .
Step 4.5
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
Use the quadratic formula to find the solutions.
Step 7
Substitute the values , , and into the quadratic formula and solve for .
Step 8
Simplify.
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Step 8.1
Simplify the numerator.
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Step 8.1.1
Raise to the power of .
Step 8.1.2
Multiply .
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Step 8.1.2.1
Multiply by .
Step 8.1.2.2
Multiply by .
Step 8.1.3
Add and .
Step 8.2
Multiply by .
Step 9
Simplify the expression to solve for the portion of the .
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Step 9.1
Simplify the numerator.
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Step 9.1.1
Raise to the power of .
Step 9.1.2
Multiply .
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Step 9.1.2.1
Multiply by .
Step 9.1.2.2
Multiply by .
Step 9.1.3
Add and .
Step 9.2
Multiply by .
Step 9.3
Change the to .
Step 9.4
Rewrite as .
Step 9.5
Factor out of .
Step 9.6
Factor out of .
Step 9.7
Move the negative in front of the fraction.
Step 10
Simplify the expression to solve for the portion of the .
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Step 10.1
Simplify the numerator.
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Step 10.1.1
Raise to the power of .
Step 10.1.2
Multiply .
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Step 10.1.2.1
Multiply by .
Step 10.1.2.2
Multiply by .
Step 10.1.3
Add and .
Step 10.2
Multiply by .
Step 10.3
Change the to .
Step 10.4
Rewrite as .
Step 10.5
Factor out of .
Step 10.6
Factor out of .
Step 10.7
Move the negative in front of the fraction.
Step 11
The final answer is the combination of both solutions.
Step 12
The result can be shown in multiple forms.
Exact Form:
Decimal Form: