(-14z^2+4)-(-13z^2)=

Solution for (-14z^2+4)-(-13z^2)= equation:

Simplifying
(-14z2 + 4) + -1(-13z2) = 0

Reorder the terms:
(4 + -14z2) + -1(-13z2) = 0

Remove parenthesis around (4 + -14z2)
4 + -14z2 + -1(-13z2) = 0

Remove parenthesis around (-13z2)
4 + -14z2 + -1 * -13z2 = 0

Multiply -1 * -13
4 + -14z2 + 13z2 = 0

Combine like terms: -14z2 + 13z2 = -1z2
4 + -1z2 = 0

Solving
4 + -1z2 = 0

Solving for variable 'z'.

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

Add '-4' to each side of the equation.
4 + -4 + -1z2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1z2 = 0 + -4
-1z2 = 0 + -4

Combine like terms: 0 + -4 = -4
-1z2 = -4

Divide each side by '-1'.
z2 = 4

Simplifying
z2 = 4

Take the square root of each side:
z = {-2, 2}