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

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


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

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

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

Multiply (-1 + 2x) * (3 + x)
(-1(3 + x) + 2x * (3 + x)) = 4
((3 * -1 + x * -1) + 2x * (3 + x)) = 4
((-3 + -1x) + 2x * (3 + x)) = 4
(-3 + -1x + (3 * 2x + x * 2x)) = 4
(-3 + -1x + (6x + 2x2)) = 4

Combine like terms: -1x + 6x = 5x
(-3 + 5x + 2x2) = 4

Solving
-3 + 5x + 2x2 = 4

Solving for variable 'x'.

Reorder the terms:
-3 + -4 + 5x + 2x2 = 4 + -4

Combine like terms: -3 + -4 = -7
-7 + 5x + 2x2 = 4 + -4

Combine like terms: 4 + -4 = 0
-7 + 5x + 2x2 = 0

Factor a trinomial.
(-7 + -2x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-7 + -2x)' equal to zero and attempt to solve:

Simplifying
-7 + -2x = 0

Solving
-7 + -2x = 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 + -2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = 0 + 7
-2x = 0 + 7

Combine like terms: 0 + 7 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

Subproblem 2
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
Solution
x = {-3.5, 1}

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