6x^2[(3x-4)+(4x+2)]=

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


Simplifying
6x2[(3x + -4) + (4x + 2)] = 0

Reorder the terms:
6x2[(-4 + 3x) + (4x + 2)] = 0

Remove parenthesis around (-4 + 3x)
6x2[-4 + 3x + (4x + 2)] = 0

Reorder the terms:
6x2[-4 + 3x + (2 + 4x)] = 0

Remove parenthesis around (2 + 4x)
6x2[-4 + 3x + 2 + 4x] = 0

Reorder the terms:
6x2[-4 + 2 + 3x + 4x] = 0

Combine like terms: -4 + 2 = -2
6x2[-2 + 3x + 4x] = 0

Combine like terms: 3x + 4x = 7x
6x2[-2 + 7x] = 0
[-2 * 6x2 + 7x * 6x2] = 0
[-12x2 + 42x3] = 0

Solving
-12x2 + 42x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x2'.
6x2(-2 + 7x) = 0

Ignore the factor 6.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

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

Simplifying
-2 + 7x = 0

Solving
-2 + 7x = 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 + 7x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 7x = 0 + 2
7x = 0 + 2

Combine like terms: 0 + 2 = 2
7x = 2

Divide each side by '7'.
x = 0.2857142857

Simplifying
x = 0.2857142857
Solution
x = {0, 0.2857142857}

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