(7z+1)(z-6)=

Solution for (7z+1)(z-6)= equation:

Simplifying
(7z + 1)(z + -6) = 0

Reorder the terms:
(1 + 7z)(z + -6) = 0

Reorder the terms:
(1 + 7z)(-6 + z) = 0

Multiply (1 + 7z) * (-6 + z)
(1(-6 + z) + 7z * (-6 + z)) = 0
((-6 * 1 + z * 1) + 7z * (-6 + z)) = 0
((-6 + 1z) + 7z * (-6 + z)) = 0
(-6 + 1z + (-6 * 7z + z * 7z)) = 0
(-6 + 1z + (-42z + 7z2)) = 0

Combine like terms: 1z + -42z = -41z
(-6 + -41z + 7z2) = 0

Solving
-6 + -41z + 7z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-1 + -7z)(6 + -1z) = 0

Subproblem 1
Set the factor '(-1 + -7z)' equal to zero and attempt to solve:

Simplifying
-1 + -7z = 0

Solving
-1 + -7z = 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 + -7z = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -7z = 0 + 1
-7z = 0 + 1

Combine like terms: 0 + 1 = 1
-7z = 1

Divide each side by '-7'.
z = -0.1428571429

Simplifying
z = -0.1428571429
Subproblem 2
Set the factor '(6 + -1z)' equal to zero and attempt to solve:

Simplifying
6 + -1z = 0

Solving
6 + -1z = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1z = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1z = 0 + -6
-1z = 0 + -6

Combine like terms: 0 + -6 = -6
-1z = -6

Divide each side by '-1'.
z = 6

Simplifying
z = 6
Solution
z = {-0.1428571429, 6}