4x(3x+2)-x(5-2x)=

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Solution for 4x(3x+2)-x(5-2x)= equation: 


Simplifying
4x(3x + 2) + -1x(5 + -2x) = 0

Reorder the terms:
4x(2 + 3x) + -1x(5 + -2x) = 0
(2 * 4x + 3x * 4x) + -1x(5 + -2x) = 0
(8x + 12x2) + -1x(5 + -2x) = 0
8x + 12x2 + (5 * -1x + -2x * -1x) = 0
8x + 12x2 + (-5x + 2x2) = 0

Reorder the terms:
8x + -5x + 12x2 + 2x2 = 0

Combine like terms: 8x + -5x = 3x
3x + 12x2 + 2x2 = 0

Combine like terms: 12x2 + 2x2 = 14x2
3x + 14x2 = 0

Solving
3x + 14x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(3 + 14x) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(3 + 14x)' equal to zero and attempt to solve:

Simplifying
3 + 14x = 0

Solving
3 + 14x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 14x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 14x = 0 + -3
14x = 0 + -3

Combine like terms: 0 + -3 = -3
14x = -3

Divide each side by '14'.
x = -0.2142857143

Simplifying
x = -0.2142857143
Solution
x = {0, -0.2142857143}

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