3z(2z+3)+20=6z(z-3)

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Solution for 3z(2z+3)+20=6z(z-3) equation:


Simplifying
3z(2z + 3) + 20 = 6z(z + -3)

Reorder the terms:
3z(3 + 2z) + 20 = 6z(z + -3)
(3 * 3z + 2z * 3z) + 20 = 6z(z + -3)
(9z + 6z2) + 20 = 6z(z + -3)

Reorder the terms:
20 + 9z + 6z2 = 6z(z + -3)

Reorder the terms:
20 + 9z + 6z2 = 6z(-3 + z)
20 + 9z + 6z2 = (-3 * 6z + z * 6z)
20 + 9z + 6z2 = (-18z + 6z2)

Add '-6z2' to each side of the equation.
20 + 9z + 6z2 + -6z2 = -18z + 6z2 + -6z2

Combine like terms: 6z2 + -6z2 = 0
20 + 9z + 0 = -18z + 6z2 + -6z2
20 + 9z = -18z + 6z2 + -6z2

Combine like terms: 6z2 + -6z2 = 0
20 + 9z = -18z + 0
20 + 9z = -18z

Solving
20 + 9z = -18z

Solving for variable 'z'.

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

Add '18z' to each side of the equation.
20 + 9z + 18z = -18z + 18z

Combine like terms: 9z + 18z = 27z
20 + 27z = -18z + 18z

Combine like terms: -18z + 18z = 0
20 + 27z = 0

Add '-20' to each side of the equation.
20 + -20 + 27z = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 27z = 0 + -20
27z = 0 + -20

Combine like terms: 0 + -20 = -20
27z = -20

Divide each side by '27'.
z = -0.7407407407

Simplifying
z = -0.7407407407

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