(2x-1)(x+3)=294

Solution for (2x-1)(x+3)=294 equation:

Simplifying
(2x + -1)(x + 3) = 294

Reorder the terms:
(-1 + 2x)(x + 3) = 294

Reorder the terms:
(-1 + 2x)(3 + x) = 294

Multiply (-1 + 2x) * (3 + x)
(-1(3 + x) + 2x * (3 + x)) = 294
((3 * -1 + x * -1) + 2x * (3 + x)) = 294
((-3 + -1x) + 2x * (3 + x)) = 294
(-3 + -1x + (3 * 2x + x * 2x)) = 294
(-3 + -1x + (6x + 2x2)) = 294

Combine like terms: -1x + 6x = 5x
(-3 + 5x + 2x2) = 294

Solving
-3 + 5x + 2x2 = 294

Solving for variable 'x'.

Reorder the terms:
-3 + -294 + 5x + 2x2 = 294 + -294

Combine like terms: -3 + -294 = -297
-297 + 5x + 2x2 = 294 + -294

Combine like terms: 294 + -294 = 0
-297 + 5x + 2x2 = 0

Factor a trinomial.
(-27 + -2x)(11 + -1x) = 0

Subproblem 1
Set the factor '(-27 + -2x)' equal to zero and attempt to solve:

Simplifying
-27 + -2x = 0

Solving
-27 + -2x = 0

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

Add '27' to each side of the equation.
-27 + 27 + -2x = 0 + 27

Combine like terms: -27 + 27 = 0
0 + -2x = 0 + 27
-2x = 0 + 27

Combine like terms: 0 + 27 = 27
-2x = 27

Divide each side by '-2'.
x = -13.5

Simplifying
x = -13.5
Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {-13.5, 11}