(x+2)(x-1)=154

Solution for (x+2)(x-1)=154 equation:

Simplifying
(x + 2)(x + -1) = 154

Reorder the terms:
(2 + x)(x + -1) = 154

Reorder the terms:
(2 + x)(-1 + x) = 154

Multiply (2 + x) * (-1 + x)
(2(-1 + x) + x(-1 + x)) = 154
((-1 * 2 + x * 2) + x(-1 + x)) = 154
((-2 + 2x) + x(-1 + x)) = 154
(-2 + 2x + (-1 * x + x * x)) = 154
(-2 + 2x + (-1x + x2)) = 154

Combine like terms: 2x + -1x = 1x
(-2 + 1x + x2) = 154

Solving
-2 + 1x + x2 = 154

Solving for variable 'x'.

Reorder the terms:
-2 + -154 + 1x + x2 = 154 + -154

Combine like terms: -2 + -154 = -156
-156 + 1x + x2 = 154 + -154

Combine like terms: 154 + -154 = 0
-156 + 1x + x2 = 0

Factor a trinomial.
(-13 + -1x)(12 + -1x) = 0

Subproblem 1
Set the factor '(-13 + -1x)' equal to zero and attempt to solve:

Simplifying
-13 + -1x = 0

Solving
-13 + -1x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -1x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = 0 + 13
-1x = 0 + 13

Combine like terms: 0 + 13 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13
Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

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

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

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {-13, 12}