(2x)(2)(3x+4)=80

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Solution for (2x)(2)(3x+4)=80 equation: 


Simplifying
(2x)(2)(3x + 4) = 80

Remove parenthesis around (2x)
2x(2)(3x + 4) = 80

Reorder the terms:
2x * 2(4 + 3x) = 80

Reorder the terms for easier multiplication:
2 * 2x(4 + 3x) = 80

Multiply 2 * 2
4x(4 + 3x) = 80
(4 * 4x + 3x * 4x) = 80
(16x + 12x2) = 80

Solving
16x + 12x2 = 80

Solving for variable 'x'.

Reorder the terms:
-80 + 16x + 12x2 = 80 + -80

Combine like terms: 80 + -80 = 0
-80 + 16x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-20 + 4x + 3x2) = 0

Factor a trinomial.
4((-10 + -3x)(2 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-10 + -3x)' equal to zero and attempt to solve:

Simplifying
-10 + -3x = 0

Solving
-10 + -3x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -3x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -3x = 0 + 10
-3x = 0 + 10

Combine like terms: 0 + 10 = 10
-3x = 10

Divide each side by '-3'.
x = -3.333333333

Simplifying
x = -3.333333333

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-3.333333333, 2}

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