Basic Math Examples

Solve for y 19x- square root of 17i=-19/17+13yi
Step 1
Rewrite the equation as .
Step 2
Move the negative in front of the fraction.
Step 3
Add to both sides of the equation.
Step 4
Divide each term in by and simplify.
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Step 4.1
Divide each term in by .
Step 4.2
Simplify the left side.
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Step 4.2.1
Cancel the common factor of .
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Step 4.2.1.1
Cancel the common factor.
Step 4.2.1.2
Rewrite the expression.
Step 4.2.2
Cancel the common factor of .
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Step 4.2.2.1
Cancel the common factor.
Step 4.2.2.2
Divide by .
Step 4.3
Simplify the right side.
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Step 4.3.1
Simplify each term.
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Step 4.3.1.1
Multiply the numerator and denominator of by the conjugate of to make the denominator real.
Step 4.3.1.2
Multiply.
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Step 4.3.1.2.1
Combine.
Step 4.3.1.2.2
Simplify the denominator.
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Step 4.3.1.2.2.1
Add parentheses.
Step 4.3.1.2.2.2
Raise to the power of .
Step 4.3.1.2.2.3
Raise to the power of .
Step 4.3.1.2.2.4
Use the power rule to combine exponents.
Step 4.3.1.2.2.5
Add and .
Step 4.3.1.2.2.6
Rewrite as .
Step 4.3.1.3
Multiply by .
Step 4.3.1.4
Move the negative in front of the fraction.
Step 4.3.1.5
Cancel the common factor of .
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Step 4.3.1.5.1
Cancel the common factor.
Step 4.3.1.5.2
Rewrite the expression.
Step 4.3.1.6
Move the negative in front of the fraction.
Step 4.3.1.7
Multiply the numerator and denominator of by the conjugate of to make the denominator real.
Step 4.3.1.8
Multiply.
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Step 4.3.1.8.1
Combine.
Step 4.3.1.8.2
Combine and .
Step 4.3.1.8.3
Simplify the denominator.
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Step 4.3.1.8.3.1
Add parentheses.
Step 4.3.1.8.3.2
Raise to the power of .
Step 4.3.1.8.3.3
Raise to the power of .
Step 4.3.1.8.3.4
Use the power rule to combine exponents.
Step 4.3.1.8.3.5
Add and .
Step 4.3.1.8.3.6
Rewrite as .
Step 4.3.1.9
Multiply the numerator by the reciprocal of the denominator.
Step 4.3.1.10
Cancel the common factor of and .
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Step 4.3.1.10.1
Rewrite as .
Step 4.3.1.10.2
Move the negative in front of the fraction.
Step 4.3.1.11
Multiply .
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Step 4.3.1.11.1
Multiply by .
Step 4.3.1.11.2
Multiply by .