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Simplifying
66 = 2z * 3z + 3
Reorder the terms for easier multiplication:
66 = 2 * 3z * z + 3
Multiply 2 * 3
66 = 6z * z + 3
Multiply z * z
66 = 6z2 + 3
Reorder the terms:
66 = 3 + 6z2
Solving
66 = 3 + 6z2
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '-6z2' to each side of the equation.
66 + -6z2 = 3 + 6z2 + -6z2
Combine like terms: 6z2 + -6z2 = 0
66 + -6z2 = 3 + 0
66 + -6z2 = 3
Add '-66' to each side of the equation.
66 + -66 + -6z2 = 3 + -66
Combine like terms: 66 + -66 = 0
0 + -6z2 = 3 + -66
-6z2 = 3 + -66
Combine like terms: 3 + -66 = -63
-6z2 = -63
Divide each side by '-6'.
z2 = 10.5
Simplifying
z2 = 10.5
Take the square root of each side:
z = {-3.240370349, 3.240370349}
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