(x-3)(x+1)=60

Solution for (x-3)(x+1)=60 equation:

Simplifying
(x + -3)(x + 1) = 60

Reorder the terms:
(-3 + x)(x + 1) = 60

Reorder the terms:
(-3 + x)(1 + x) = 60

Multiply (-3 + x) * (1 + x)
(-3(1 + x) + x(1 + x)) = 60
((1 * -3 + x * -3) + x(1 + x)) = 60
((-3 + -3x) + x(1 + x)) = 60
(-3 + -3x + (1 * x + x * x)) = 60
(-3 + -3x + (1x + x2)) = 60

Combine like terms: -3x + 1x = -2x
(-3 + -2x + x2) = 60

Solving
-3 + -2x + x2 = 60

Solving for variable 'x'.

Reorder the terms:
-3 + -60 + -2x + x2 = 60 + -60

Combine like terms: -3 + -60 = -63
-63 + -2x + x2 = 60 + -60

Combine like terms: 60 + -60 = 0
-63 + -2x + x2 = 0

Factor a trinomial.
(-7 + -1x)(9 + -1x) = 0

Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7
Subproblem 2
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
Solution
x = {-7, 9}