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Simplifying
(-2z2 + -14) + -1(-12z2) = 0
Reorder the terms:
(-14 + -2z2) + -1(-12z2) = 0
Remove parenthesis around (-14 + -2z2)
-14 + -2z2 + -1(-12z2) = 0
Remove parenthesis around (-12z2)
-14 + -2z2 + -1 * -12z2 = 0
Multiply -1 * -12
-14 + -2z2 + 12z2 = 0
Combine like terms: -2z2 + 12z2 = 10z2
-14 + 10z2 = 0
Solving
-14 + 10z2 = 0
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '14' to each side of the equation.
-14 + 14 + 10z2 = 0 + 14
Combine like terms: -14 + 14 = 0
0 + 10z2 = 0 + 14
10z2 = 0 + 14
Combine like terms: 0 + 14 = 14
10z2 = 14
Divide each side by '10'.
z2 = 1.4
Simplifying
z2 = 1.4
Take the square root of each side:
z = {-1.183215957, 1.183215957}
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