Question
Simplify the expression
3z−4
Evaluate
4(2z−1)−5z
Expand the expression
More Steps

Calculate
4(2z−1)
Apply the distributive property
4×2z−4×1
Multiply the numbers
8z−4×1
Any expression multiplied by 1 remains the same
8z−4
8z−4−5z
Solution
More Steps

Evaluate
8z−5z
Collect like terms by calculating the sum or difference of their coefficients
(8−5)z
Subtract the numbers
3z
3z−4
Show Solution

Find the roots
z=34
Alternative Form
z=1.3˙
Evaluate
4(2z−1)−5z
To find the roots of the expression,set the expression equal to 0
4(2z−1)−5z=0
Calculate
More Steps

Evaluate
4(2z−1)−5z
Expand the expression
More Steps

Calculate
4(2z−1)
Apply the distributive property
4×2z−4×1
Multiply the numbers
8z−4×1
Any expression multiplied by 1 remains the same
8z−4
8z−4−5z
Subtract the terms
More Steps

Evaluate
8z−5z
Collect like terms by calculating the sum or difference of their coefficients
(8−5)z
Subtract the numbers
3z
3z−4
3z−4=0
Move the constant to the right-hand side and change its sign
3z=0+4
Removing 0 doesn't change the value,so remove it from the expression
3z=4
Divide both sides
33z=34
Solution
z=34
Alternative Form
z=1.3˙
Show Solution
