(4x+3)(x-1)=2

Solution for (4x+3)(x-1)=2 equation:

Simplifying
(4x + 3)(x + -1) = 2

Reorder the terms:
(3 + 4x)(x + -1) = 2

Reorder the terms:
(3 + 4x)(-1 + x) = 2

Multiply (3 + 4x) * (-1 + x)
(3(-1 + x) + 4x * (-1 + x)) = 2
((-1 * 3 + x * 3) + 4x * (-1 + x)) = 2
((-3 + 3x) + 4x * (-1 + x)) = 2
(-3 + 3x + (-1 * 4x + x * 4x)) = 2
(-3 + 3x + (-4x + 4x2)) = 2

Combine like terms: 3x + -4x = -1x
(-3 + -1x + 4x2) = 2

Solving
-3 + -1x + 4x2 = 2

Solving for variable 'x'.

Reorder the terms:
-3 + -2 + -1x + 4x2 = 2 + -2

Combine like terms: -3 + -2 = -5
-5 + -1x + 4x2 = 2 + -2

Combine like terms: 2 + -2 = 0
-5 + -1x + 4x2 = 0

Factor a trinomial.
(-1 + -1x)(5 + -4x) = 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 '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {-1, 1.25}