2z-9(z+5)=0

Solution for 2z-9(z+5)=0 equation:

Simplifying
2z + -9(z + 5) = 0

Reorder the terms:
2z + -9(5 + z) = 0
2z + (5 * -9 + z * -9) = 0
2z + (-45 + -9z) = 0

Reorder the terms:
-45 + 2z + -9z = 0

Combine like terms: 2z + -9z = -7z
-45 + -7z = 0

Solving
-45 + -7z = 0

Solving for variable 'z'.

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

Add '45' to each side of the equation.
-45 + 45 + -7z = 0 + 45

Combine like terms: -45 + 45 = 0
0 + -7z = 0 + 45
-7z = 0 + 45

Combine like terms: 0 + 45 = 45
-7z = 45

Divide each side by '-7'.
z = -6.428571429

Simplifying
z = -6.428571429