(3x-5)(x+11)=288

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Solution for (3x-5)(x+11)=288 equation: 


Simplifying
(3x + -5)(x + 11) = 288

Reorder the terms:
(-5 + 3x)(x + 11) = 288

Reorder the terms:
(-5 + 3x)(11 + x) = 288

Multiply (-5 + 3x) * (11 + x)
(-5(11 + x) + 3x * (11 + x)) = 288
((11 * -5 + x * -5) + 3x * (11 + x)) = 288
((-55 + -5x) + 3x * (11 + x)) = 288
(-55 + -5x + (11 * 3x + x * 3x)) = 288
(-55 + -5x + (33x + 3x2)) = 288

Combine like terms: -5x + 33x = 28x
(-55 + 28x + 3x2) = 288

Solving
-55 + 28x + 3x2 = 288

Solving for variable 'x'.

Reorder the terms:
-55 + -288 + 28x + 3x2 = 288 + -288

Combine like terms: -55 + -288 = -343
-343 + 28x + 3x2 = 288 + -288

Combine like terms: 288 + -288 = 0
-343 + 28x + 3x2 = 0

Factor a trinomial.
(-49 + -3x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-49 + -3x)' equal to zero and attempt to solve:

Simplifying
-49 + -3x = 0

Solving
-49 + -3x = 0

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

Add '49' to each side of the equation.
-49 + 49 + -3x = 0 + 49

Combine like terms: -49 + 49 = 0
0 + -3x = 0 + 49
-3x = 0 + 49

Combine like terms: 0 + 49 = 49
-3x = 49

Divide each side by '-3'.
x = -16.33333333

Simplifying
x = -16.33333333

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

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-16.33333333, 7}

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