Question
Factor the expression
Factor
2(2z−3)(2z+3)
Evaluate
8z2−18
Factor out 2 from the expression
2(4z2−9)
Solution
More Steps
Evaluate
4z2−9
Rewrite the expression in exponential form
(2z)2−32
Use a2−b2=(a−b)(a+b) to factor the expression
(2z−3)(2z+3)
2(2z−3)(2z+3)
Show Solution
Find the roots
Find the roots of the algebra expression
z1=−23,z2=23
Alternative Form
z1=−1.5,z2=1.5
Evaluate
8z2−18
To find the roots of the expression,set the expression equal to 0
8z2−18=0
Move the constant to the right-hand side and change its sign
8z2=0+18
Removing 0 doesn't change the value,so remove it from the expression
8z2=18
Divide both sides
88z2=818
Divide the numbers
z2=818
Cancel out the common factor 2
z2=49
Take the root of both sides of the equation and remember to use both positive and negative roots
z=±49
Simplify the expression
More Steps
Evaluate
49
To take a root of a fraction,take the root of the numerator and denominator separately
49
Simplify the radical expression
More Steps
Evaluate
9
Write the number in exponential form with the base of 3
32
Reduce the index of the radical and exponent with 2
3
43
Simplify the radical expression
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Evaluate
4
Write the number in exponential form with the base of 2
22
Reduce the index of the radical and exponent with 2
2
23
z=±23
Separate the equation into 2 possible cases
z=23z=−23
Solution
z1=−23,z2=23
Alternative Form
z1=−1.5,z2=1.5
Show Solution