(2x-3)(x+4)=285

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Solution for (2x-3)(x+4)=285 equation: 


Simplifying
(2x + -3)(x + 4) = 285

Reorder the terms:
(-3 + 2x)(x + 4) = 285

Reorder the terms:
(-3 + 2x)(4 + x) = 285

Multiply (-3 + 2x) * (4 + x)
(-3(4 + x) + 2x * (4 + x)) = 285
((4 * -3 + x * -3) + 2x * (4 + x)) = 285
((-12 + -3x) + 2x * (4 + x)) = 285
(-12 + -3x + (4 * 2x + x * 2x)) = 285
(-12 + -3x + (8x + 2x2)) = 285

Combine like terms: -3x + 8x = 5x
(-12 + 5x + 2x2) = 285

Solving
-12 + 5x + 2x2 = 285

Solving for variable 'x'.

Reorder the terms:
-12 + -285 + 5x + 2x2 = 285 + -285

Combine like terms: -12 + -285 = -297
-297 + 5x + 2x2 = 285 + -285

Combine like terms: 285 + -285 = 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}

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