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Simplifying
3z * 3z + -5 = 7
Reorder the terms for easier multiplication:
3 * 3z * z + -5 = 7
Multiply 3 * 3
9z * z + -5 = 7
Multiply z * z
9z2 + -5 = 7
Reorder the terms:
-5 + 9z2 = 7
Solving
-5 + 9z2 = 7
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 + 9z2 = 7 + 5
Combine like terms: -5 + 5 = 0
0 + 9z2 = 7 + 5
9z2 = 7 + 5
Combine like terms: 7 + 5 = 12
9z2 = 12
Divide each side by '9'.
z2 = 1.333333333
Simplifying
z2 = 1.333333333
Take the square root of each side:
z = {-1.154700538, 1.154700538}
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