Basic Math Examples

Solve for z -2z^2+8=0
-2z2+8=0
Step 1
Subtract 8 from both sides of the equation.
-2z2=-8
Step 2
Divide each term in -2z2=-8 by -2 and simplify.
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Step 2.1
Divide each term in -2z2=-8 by -2.
-2z2-2=-8-2
Step 2.2
Simplify the left side.
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Step 2.2.1
Cancel the common factor of -2.
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Step 2.2.1.1
Cancel the common factor.
-2z2-2=-8-2
Step 2.2.1.2
Divide z2 by 1.
z2=-8-2
z2=-8-2
z2=-8-2
Step 2.3
Simplify the right side.
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Step 2.3.1
Divide -8 by -2.
z2=4
z2=4
z2=4
Step 3
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
z=±4
Step 4
Simplify ±4.
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Step 4.1
Rewrite 4 as 22.
z=±22
Step 4.2
Pull terms out from under the radical, assuming positive real numbers.
z=±2
z=±2
Step 5
The complete solution is the result of both the positive and negative portions of the solution.
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Step 5.1
First, use the positive value of the ± to find the first solution.
z=2
Step 5.2
Next, use the negative value of the ± to find the second solution.
z=-2
Step 5.3
The complete solution is the result of both the positive and negative portions of the solution.
z=2,-2
z=2,-2
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