3z+2t[-5z]+6=

Solution for 3z+2t[-5z]+6= equation:

Simplifying
3z + 2t[-5z] + 6 = 0

Remove brackets around [-5z]
3z + 2t * -5z + 6 = 0

Reorder the terms for easier multiplication:
3z + 2 * -5t * z + 6 = 0

Multiply 2 * -5
3z + -10t * z + 6 = 0

Multiply t * z
3z + -10tz + 6 = 0

Reorder the terms:
6 + -10tz + 3z = 0

Solving
6 + -10tz + 3z = 0

Solving for variable 't'.

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

Add '-6' to each side of the equation.
6 + -10tz + -6 + 3z = 0 + -6

Reorder the terms:
6 + -6 + -10tz + 3z = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -10tz + 3z = 0 + -6
-10tz + 3z = 0 + -6

Combine like terms: 0 + -6 = -6
-10tz + 3z = -6

Add '-3z' to each side of the equation.
-10tz + 3z + -3z = -6 + -3z

Combine like terms: 3z + -3z = 0
-10tz + 0 = -6 + -3z
-10tz = -6 + -3z

Divide each side by '-10z'.
t = 0.6z-1 + 0.3

Simplifying
t = 0.6z-1 + 0.3

Reorder the terms:
t = 0.3 + 0.6z-1