4x(x+1)-4=3(x-6)+x+18

Solution for 4x(x+1)-4=3(x-6)+x+18 equation:

Simplifying
4x(x + 1) + -4 = 3(x + -6) + x + 18

Reorder the terms:
4x(1 + x) + -4 = 3(x + -6) + x + 18
(1 * 4x + x * 4x) + -4 = 3(x + -6) + x + 18
(4x + 4x2) + -4 = 3(x + -6) + x + 18

Reorder the terms:
-4 + 4x + 4x2 = 3(x + -6) + x + 18

Reorder the terms:
-4 + 4x + 4x2 = 3(-6 + x) + x + 18
-4 + 4x + 4x2 = (-6 * 3 + x * 3) + x + 18
-4 + 4x + 4x2 = (-18 + 3x) + x + 18

Reorder the terms:
-4 + 4x + 4x2 = -18 + 18 + 3x + x

Combine like terms: -18 + 18 = 0
-4 + 4x + 4x2 = 0 + 3x + x
-4 + 4x + 4x2 = 3x + x

Combine like terms: 3x + x = 4x
-4 + 4x + 4x2 = 4x

Add '-4x' to each side of the equation.
-4 + 4x + -4x + 4x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-4 + 0 + 4x2 = 4x + -4x
-4 + 4x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-4 + 4x2 = 0

Solving
-4 + 4x2 = 0

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 4x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 4x2 = 0 + 4
4x2 = 0 + 4

Combine like terms: 0 + 4 = 4
4x2 = 4

Divide each side by '4'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}