60=(x-4)(x+3)

Solution for 60=(x-4)(x+3) equation:

Simplifying
60 = (x + -4)(x + 3)

Reorder the terms:
60 = (-4 + x)(x + 3)

Reorder the terms:
60 = (-4 + x)(3 + x)

Multiply (-4 + x) * (3 + x)
60 = (-4(3 + x) + x(3 + x))
60 = ((3 * -4 + x * -4) + x(3 + x))
60 = ((-12 + -4x) + x(3 + x))
60 = (-12 + -4x + (3 * x + x * x))
60 = (-12 + -4x + (3x + x2))

Combine like terms: -4x + 3x = -1x
60 = (-12 + -1x + x2)

Solving
60 = -12 + -1x + x2

Solving for variable 'x'.

Combine like terms: 60 + 12 = 72
72 + x + -1x2 = -12 + -1x + x2 + 12 + x + -1x2

Reorder the terms:
72 + x + -1x2 = -12 + 12 + -1x + x + x2 + -1x2

Combine like terms: -12 + 12 = 0
72 + x + -1x2 = 0 + -1x + x + x2 + -1x2
72 + x + -1x2 = -1x + x + x2 + -1x2

Combine like terms: -1x + x = 0
72 + x + -1x2 = 0 + x2 + -1x2
72 + x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
72 + x + -1x2 = 0

Factor a trinomial.
(9 + -1x)(8 + x) = 0

Subproblem 1
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8
Solution
x = {9, -8}