6x(3x-4)+(4x+2)=

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Solution for 6x(3x-4)+(4x+2)= equation: 


Simplifying
6x(3x + -4) + (4x + 2) = 0

Reorder the terms:
6x(-4 + 3x) + (4x + 2) = 0
(-4 * 6x + 3x * 6x) + (4x + 2) = 0
(-24x + 18x2) + (4x + 2) = 0

Reorder the terms:
-24x + 18x2 + (2 + 4x) = 0

Remove parenthesis around (2 + 4x)
-24x + 18x2 + 2 + 4x = 0

Reorder the terms:
2 + -24x + 4x + 18x2 = 0

Combine like terms: -24x + 4x = -20x
2 + -20x + 18x2 = 0

Solving
2 + -20x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -10x + 9x2) = 0

Factor a trinomial.
2((1 + -9x)(1 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(1 + -9x)' equal to zero and attempt to solve:

Simplifying
1 + -9x = 0

Solving
1 + -9x = 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 + -9x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -9x = 0 + -1
-9x = 0 + -1

Combine like terms: 0 + -1 = -1
-9x = -1

Divide each side by '-9'.
x = 0.1111111111

Simplifying
x = 0.1111111111

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

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {0.1111111111, 1}

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