2(3x+5)2x-8=

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Solution for 2(3x+5)2x-8= equation: 


Simplifying
2(3x + 5) * 2x + -8 = 0

Reorder the terms:
2(5 + 3x) * 2x + -8 = 0

Reorder the terms for easier multiplication:
2 * 2x(5 + 3x) + -8 = 0

Multiply 2 * 2
4x(5 + 3x) + -8 = 0
(5 * 4x + 3x * 4x) + -8 = 0
(20x + 12x2) + -8 = 0

Reorder the terms:
-8 + 20x + 12x2 = 0

Solving
-8 + 20x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-2 + 5x + 3x2) = 0

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

Ignore the factor 4.

Subproblem 1
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

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 = {-2, 0.3333333333}

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