3x(x-4)+2x(1-5x)-6x(2x-3)=

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Solution for 3x(x-4)+2x(1-5x)-6x(2x-3)= equation: 


Simplifying
3x(x + -4) + 2x(1 + -5x) + -6x(2x + -3) = 0

Reorder the terms:
3x(-4 + x) + 2x(1 + -5x) + -6x(2x + -3) = 0
(-4 * 3x + x * 3x) + 2x(1 + -5x) + -6x(2x + -3) = 0
(-12x + 3x2) + 2x(1 + -5x) + -6x(2x + -3) = 0
-12x + 3x2 + (1 * 2x + -5x * 2x) + -6x(2x + -3) = 0
-12x + 3x2 + (2x + -10x2) + -6x(2x + -3) = 0

Reorder the terms:
-12x + 3x2 + 2x + -10x2 + -6x(-3 + 2x) = 0
-12x + 3x2 + 2x + -10x2 + (-3 * -6x + 2x * -6x) = 0
-12x + 3x2 + 2x + -10x2 + (18x + -12x2) = 0

Reorder the terms:
-12x + 2x + 18x + 3x2 + -10x2 + -12x2 = 0

Combine like terms: -12x + 2x = -10x
-10x + 18x + 3x2 + -10x2 + -12x2 = 0

Combine like terms: -10x + 18x = 8x
8x + 3x2 + -10x2 + -12x2 = 0

Combine like terms: 3x2 + -10x2 = -7x2
8x + -7x2 + -12x2 = 0

Combine like terms: -7x2 + -12x2 = -19x2
8x + -19x2 = 0

Solving
8x + -19x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(8 + -19x) = 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 '(8 + -19x)' equal to zero and attempt to solve:

Simplifying
8 + -19x = 0

Solving
8 + -19x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -19x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -19x = 0 + -8
-19x = 0 + -8

Combine like terms: 0 + -8 = -8
-19x = -8

Divide each side by '-19'.
x = 0.4210526316

Simplifying
x = 0.4210526316
Solution
x = {0, 0.4210526316}

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