Trigonometry Examples

Solve for x 25x^2-30x+9=(5x-3)^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
Subtract from .
Step 2.3.2
Add and .
Step 2.3.3
Add and .
Step 2.3.4
Add and .
Step 3
Since , the equation will always be true for any value of .
All real numbers
Step 4
The result can be shown in multiple forms.
All real numbers
Interval Notation: