4x(6x^2-13x-8x)=0

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Solution for 4x(6x^2-13x-8x)=0 equation: 


Simplifying
4x(6x2 + -13x + -8x) = 0

Reorder the terms:
4x(-13x + -8x + 6x2) = 0

Combine like terms: -13x + -8x = -21x
4x(-21x + 6x2) = 0
(-21x * 4x + 6x2 * 4x) = 0
(-84x2 + 24x3) = 0

Solving
-84x2 + 24x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12x2'.
12x2(-7 + 2x) = 0

Ignore the factor 12.

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 '(-7 + 2x)' equal to zero and attempt to solve:

Simplifying
-7 + 2x = 0

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

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

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

Divide each side by '2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {0, 3.5}

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