(5x+4)(x-1)=2

Solution for (5x+4)(x-1)=2 equation:

Simplifying
(5x + 4)(x + -1) = 2

Reorder the terms:
(4 + 5x)(x + -1) = 2

Reorder the terms:
(4 + 5x)(-1 + x) = 2

Multiply (4 + 5x) * (-1 + x)
(4(-1 + x) + 5x * (-1 + x)) = 2
((-1 * 4 + x * 4) + 5x * (-1 + x)) = 2
((-4 + 4x) + 5x * (-1 + x)) = 2
(-4 + 4x + (-1 * 5x + x * 5x)) = 2
(-4 + 4x + (-5x + 5x2)) = 2

Combine like terms: 4x + -5x = -1x
(-4 + -1x + 5x2) = 2

Solving
-4 + -1x + 5x2 = 2

Solving for variable 'x'.

Reorder the terms:
-4 + -2 + -1x + 5x2 = 2 + -2

Combine like terms: -4 + -2 = -6
-6 + -1x + 5x2 = 2 + -2

Combine like terms: 2 + -2 = 0
-6 + -1x + 5x2 = 0

Factor a trinomial.
(-1 + -1x)(6 + -5x) = 0

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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

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

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

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

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

Simplifying
x = -1
Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve:

Simplifying
6 + -5x = 0

Solving
6 + -5x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 0 + -6
-5x = 0 + -6

Combine like terms: 0 + -6 = -6
-5x = -6

Divide each side by '-5'.
x = 1.2

Simplifying
x = 1.2
Solution
x = {-1, 1.2}