4(z+5)2-(2z+1)2=3(z-5)+180

Solution for 4(z+5)2-(2z+1)2=3(z-5)+180 equation:

Simplifying
4(z + 5) * 2 + -1(2z + 1) * 2 = 3(z + -5) + 180

Reorder the terms:
4(5 + z) * 2 + -1(2z + 1) * 2 = 3(z + -5) + 180

Reorder the terms for easier multiplication:
4 * 2(5 + z) + -1(2z + 1) * 2 = 3(z + -5) + 180

Multiply 4 * 2
8(5 + z) + -1(2z + 1) * 2 = 3(z + -5) + 180
(5 * 8 + z * 8) + -1(2z + 1) * 2 = 3(z + -5) + 180
(40 + 8z) + -1(2z + 1) * 2 = 3(z + -5) + 180

Reorder the terms:
40 + 8z + -1(1 + 2z) * 2 = 3(z + -5) + 180

Reorder the terms for easier multiplication:
40 + 8z + -1 * 2(1 + 2z) = 3(z + -5) + 180

Multiply -1 * 2
40 + 8z + -2(1 + 2z) = 3(z + -5) + 180
40 + 8z + (1 * -2 + 2z * -2) = 3(z + -5) + 180
40 + 8z + (-2 + -4z) = 3(z + -5) + 180

Reorder the terms:
40 + -2 + 8z + -4z = 3(z + -5) + 180

Combine like terms: 40 + -2 = 38
38 + 8z + -4z = 3(z + -5) + 180

Combine like terms: 8z + -4z = 4z
38 + 4z = 3(z + -5) + 180

Reorder the terms:
38 + 4z = 3(-5 + z) + 180
38 + 4z = (-5 * 3 + z * 3) + 180
38 + 4z = (-15 + 3z) + 180

Reorder the terms:
38 + 4z = -15 + 180 + 3z

Combine like terms: -15 + 180 = 165
38 + 4z = 165 + 3z

Solving
38 + 4z = 165 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
38 + 4z + -3z = 165 + 3z + -3z

Combine like terms: 4z + -3z = 1z
38 + 1z = 165 + 3z + -3z

Combine like terms: 3z + -3z = 0
38 + 1z = 165 + 0
38 + 1z = 165

Add '-38' to each side of the equation.
38 + -38 + 1z = 165 + -38

Combine like terms: 38 + -38 = 0
0 + 1z = 165 + -38
1z = 165 + -38

Combine like terms: 165 + -38 = 127
1z = 127

Divide each side by '1'.
z = 127

Simplifying
z = 127