3x(9-8x-4x)+8(3x+4)=11

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Solution for 3x(9-8x-4x)+8(3x+4)=11 equation: 


Simplifying
3x(9 + -8x + -4x) + 8(3x + 4) = 11

Combine like terms: -8x + -4x = -12x
3x(9 + -12x) + 8(3x + 4) = 11
(9 * 3x + -12x * 3x) + 8(3x + 4) = 11
(27x + -36x2) + 8(3x + 4) = 11

Reorder the terms:
27x + -36x2 + 8(4 + 3x) = 11
27x + -36x2 + (4 * 8 + 3x * 8) = 11
27x + -36x2 + (32 + 24x) = 11

Reorder the terms:
32 + 27x + 24x + -36x2 = 11

Combine like terms: 27x + 24x = 51x
32 + 51x + -36x2 = 11

Solving
32 + 51x + -36x2 = 11

Solving for variable 'x'.

Reorder the terms:
32 + -11 + 51x + -36x2 = 11 + -11

Combine like terms: 32 + -11 = 21
21 + 51x + -36x2 = 11 + -11

Combine like terms: 11 + -11 = 0
21 + 51x + -36x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(7 + 17x + -12x2) = 0

Factor a trinomial.
3((7 + -4x)(1 + 3x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(7 + -4x)' equal to zero and attempt to solve:

Simplifying
7 + -4x = 0

Solving
7 + -4x = 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 + -4x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = 0 + -7
-4x = 0 + -7

Combine like terms: 0 + -7 = -7
-4x = -7

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75

Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve:

Simplifying
1 + 3x = 0

Solving
1 + 3x = 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 + 3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 0 + -1
3x = 0 + -1

Combine like terms: 0 + -1 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333
Solution
x = {1.75, -0.3333333333}

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