Pre-Algebra Examples

Solve for y x=1/4*(zy^2)-5y
Step 1
Rewrite the equation as .
Step 2
Multiply .
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Step 2.1
Combine and .
Step 2.2
Combine and .
Step 3
Subtract from both sides of the equation.
Step 4
Multiply through by the least common denominator , then simplify.
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Step 4.1
Apply the distributive property.
Step 4.2
Simplify.
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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
Multiply by .
Step 4.2.3
Multiply by .
Step 4.3
Reorder and .
Step 4.4
Move .
Step 5
Use the quadratic formula to find the solutions.
Step 6
Substitute the values , , and into the quadratic formula and solve for .
Step 7
Simplify.
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Step 7.1
Simplify the numerator.
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Step 7.1.1
Raise to the power of .
Step 7.1.2
Multiply by .
Step 7.1.3
Rewrite as .
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Step 7.1.3.1
Factor out of .
Step 7.1.3.2
Factor out of .
Step 7.1.3.3
Factor out of .
Step 7.1.3.4
Rewrite as .
Step 7.1.4
Pull terms out from under the radical.
Step 7.2
Simplify .
Step 8
The final answer is the combination of both solutions.