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Simplifying
3z(7z + 5z * 4 + -3z) + 22 = 1152
Reorder the terms for easier multiplication:
3z(7z + 5 * 4z + -3z) + 22 = 1152
Multiply 5 * 4
3z(7z + 20z + -3z) + 22 = 1152
Combine like terms: 7z + 20z = 27z
3z(27z + -3z) + 22 = 1152
Combine like terms: 27z + -3z = 24z
3z(24z) + 22 = 1152
Remove parenthesis around (24z)
3z * 24z + 22 = 1152
Reorder the terms for easier multiplication:
3 * 24z * z + 22 = 1152
Multiply 3 * 24
72z * z + 22 = 1152
Multiply z * z
72z2 + 22 = 1152
Reorder the terms:
22 + 72z2 = 1152
Solving
22 + 72z2 = 1152
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '-22' to each side of the equation.
22 + -22 + 72z2 = 1152 + -22
Combine like terms: 22 + -22 = 0
0 + 72z2 = 1152 + -22
72z2 = 1152 + -22
Combine like terms: 1152 + -22 = 1130
72z2 = 1130
Divide each side by '72'.
z2 = 15.69444444
Simplifying
z2 = 15.69444444
Take the square root of each side:
z = {-3.961621441, 3.961621441}
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