60=(4x+4)(x-1)

Solution for 60=(4x+4)(x-1) equation:

Simplifying
60 = (4x + 4)(x + -1)

Reorder the terms:
60 = (4 + 4x)(x + -1)

Reorder the terms:
60 = (4 + 4x)(-1 + x)

Multiply (4 + 4x) * (-1 + x)
60 = (4(-1 + x) + 4x * (-1 + x))
60 = ((-1 * 4 + x * 4) + 4x * (-1 + x))
60 = ((-4 + 4x) + 4x * (-1 + x))
60 = (-4 + 4x + (-1 * 4x + x * 4x))
60 = (-4 + 4x + (-4x + 4x2))

Combine like terms: 4x + -4x = 0
60 = (-4 + 0 + 4x2)
60 = (-4 + 4x2)

Solving
60 = -4 + 4x2

Solving for variable 'x'.

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

Add '-4x2' to each side of the equation.
60 + -4x2 = -4 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
60 + -4x2 = -4 + 0
60 + -4x2 = -4

Add '-60' to each side of the equation.
60 + -60 + -4x2 = -4 + -60

Combine like terms: 60 + -60 = 0
0 + -4x2 = -4 + -60
-4x2 = -4 + -60

Combine like terms: -4 + -60 = -64
-4x2 = -64

Divide each side by '-4'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}