Basic Math Examples

Solve for y -9x+8i=-54+(16y)i
Step 1
Rewrite the equation as .
Step 2
Add to both sides of the equation.
Step 3
Divide each term in by and simplify.
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Step 3.1
Divide each term in by .
Step 3.2
Simplify the left side.
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Step 3.2.1
Cancel the common factor of .
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Step 3.2.1.1
Cancel the common factor.
Step 3.2.1.2
Rewrite the expression.
Step 3.2.2
Cancel the common factor of .
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Step 3.2.2.1
Cancel the common factor.
Step 3.2.2.2
Divide by .
Step 3.3
Simplify the right side.
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Step 3.3.1
Simplify each term.
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Step 3.3.1.1
Multiply the numerator and denominator of by the conjugate of to make the denominator real.
Step 3.3.1.2
Multiply.
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Step 3.3.1.2.1
Combine.
Step 3.3.1.2.2
Simplify the denominator.
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Step 3.3.1.2.2.1
Add parentheses.
Step 3.3.1.2.2.2
Raise to the power of .
Step 3.3.1.2.2.3
Raise to the power of .
Step 3.3.1.2.2.4
Use the power rule to combine exponents.
Step 3.3.1.2.2.5
Add and .
Step 3.3.1.2.2.6
Rewrite as .
Step 3.3.1.3
Multiply by .
Step 3.3.1.4
Dividing two negative values results in a positive value.
Step 3.3.1.5
Cancel the common factor of and .
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Step 3.3.1.5.1
Factor out of .
Step 3.3.1.5.2
Cancel the common factors.
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Step 3.3.1.5.2.1
Factor out of .
Step 3.3.1.5.2.2
Cancel the common factor.
Step 3.3.1.5.2.3
Rewrite the expression.
Step 3.3.1.6
Cancel the common factor of .
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Step 3.3.1.6.1
Cancel the common factor.
Step 3.3.1.6.2
Rewrite the expression.
Step 3.3.1.7
Cancel the common factor of and .
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Step 3.3.1.7.1
Factor out of .
Step 3.3.1.7.2
Cancel the common factors.
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Step 3.3.1.7.2.1
Factor out of .
Step 3.3.1.7.2.2
Cancel the common factor.
Step 3.3.1.7.2.3
Rewrite the expression.
Step 3.3.1.8
Multiply the numerator and denominator of by the conjugate of to make the denominator real.
Step 3.3.1.9
Multiply.
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Step 3.3.1.9.1
Combine.
Step 3.3.1.9.2
Simplify the denominator.
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Step 3.3.1.9.2.1
Add parentheses.
Step 3.3.1.9.2.2
Raise to the power of .
Step 3.3.1.9.2.3
Raise to the power of .
Step 3.3.1.9.2.4
Use the power rule to combine exponents.
Step 3.3.1.9.2.5
Add and .
Step 3.3.1.9.2.6
Rewrite as .
Step 3.3.1.10
Multiply by .
Step 3.3.1.11
Move the negative in front of the fraction.