4z^2-15z=4

Solution for 4z^2-15z=4 equation:

Simplifying
4z2 + -15z = 4

Reorder the terms:
-15z + 4z2 = 4

Solving
-15z + 4z2 = 4

Solving for variable 'z'.

Reorder the terms:
-4 + -15z + 4z2 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + -15z + 4z2 = 0

Factor a trinomial.
(-1 + -4z)(4 + -1z) = 0

Subproblem 1
Set the factor '(-1 + -4z)' equal to zero and attempt to solve:

Simplifying
-1 + -4z = 0

Solving
-1 + -4z = 0

Move all terms containing z to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + -4z = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4z = 0 + 1
-4z = 0 + 1

Combine like terms: 0 + 1 = 1
-4z = 1

Divide each side by '-4'.
z = -0.25

Simplifying
z = -0.25
Subproblem 2
Set the factor '(4 + -1z)' equal to zero and attempt to solve:

Simplifying
4 + -1z = 0

Solving
4 + -1z = 0

Move all terms containing z to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -1z = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1z = 0 + -4
-1z = 0 + -4

Combine like terms: 0 + -4 = -4
-1z = -4

Divide each side by '-1'.
z = 4

Simplifying
z = 4
Solution
z = {-0.25, 4}