10+3(2W-5)-(6W-8Z^2)+9Z^2=

Solution for 10+3(2W-5)-(6W-8Z^2)+9Z^2= equation:

Simplifying
10 + 3(2W + -5) + -1(6W + -8Z2) + 9Z2 = 0

Reorder the terms:
10 + 3(-5 + 2W) + -1(6W + -8Z2) + 9Z2 = 0
10 + (-5 * 3 + 2W * 3) + -1(6W + -8Z2) + 9Z2 = 0
10 + (-15 + 6W) + -1(6W + -8Z2) + 9Z2 = 0
10 + -15 + 6W + (6W * -1 + -8Z2 * -1) + 9Z2 = 0
10 + -15 + 6W + (-6W + 8Z2) + 9Z2 = 0

Combine like terms: 10 + -15 = -5
-5 + 6W + -6W + 8Z2 + 9Z2 = 0

Combine like terms: 6W + -6W = 0
-5 + 0 + 8Z2 + 9Z2 = 0
-5 + 8Z2 + 9Z2 = 0

Combine like terms: 8Z2 + 9Z2 = 17Z2
-5 + 17Z2 = 0

Solving
-5 + 17Z2 = 0

Solving for variable 'Z'.

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

Add '5' to each side of the equation.
-5 + 5 + 17Z2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 17Z2 = 0 + 5
17Z2 = 0 + 5

Combine like terms: 0 + 5 = 5
17Z2 = 5

Divide each side by '17'.
Z2 = 0.2941176471

Simplifying
Z2 = 0.2941176471

Take the square root of each side:
Z = {-0.542326145, 0.542326145}