Basic Math Examples

Solve for z 180=z(z-5)
Step 1
Rewrite the equation as .
Step 2
Simplify .
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Step 2.1
Apply the distributive property.
Step 2.2
Simplify the expression.
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Step 2.2.1
Multiply by .
Step 2.2.2
Move to the left of .
Step 3
Subtract from both sides of the equation.
Step 4
Use the quadratic formula to find the solutions.
Step 5
Substitute the values , , and into the quadratic formula and solve for .
Step 6
Simplify.
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Step 6.1
Simplify the numerator.
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Step 6.1.1
Raise to the power of .
Step 6.1.2
Multiply .
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Step 6.1.2.1
Multiply by .
Step 6.1.2.2
Multiply by .
Step 6.1.3
Add and .
Step 6.2
Multiply by .
Step 7
The final answer is the combination of both solutions.
Step 8
The result can be shown in multiple forms.
Exact Form:
Decimal Form: