8x(x-2)-3(2x-x)=

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Solution for 8x(x-2)-3(2x-x)= equation: 


Simplifying
8x(x + -2) + -3(2x + -1x) = 0

Reorder the terms:
8x(-2 + x) + -3(2x + -1x) = 0
(-2 * 8x + x * 8x) + -3(2x + -1x) = 0
(-16x + 8x2) + -3(2x + -1x) = 0

Combine like terms: 2x + -1x = 1x
-16x + 8x2 + -3(1x) = 0

Remove parenthesis around (1x)
-16x + 8x2 + -3 * 1x = 0

Multiply -3 * 1
-16x + 8x2 + -3x = 0

Reorder the terms:
-16x + -3x + 8x2 = 0

Combine like terms: -16x + -3x = -19x
-19x + 8x2 = 0

Solving
-19x + 8x2 = 0

Solving for variable 'x'.

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

Simplifying
-19 + 8x = 0

Solving
-19 + 8x = 0

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

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

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

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

Divide each side by '8'.
x = 2.375

Simplifying
x = 2.375
Solution
x = {0, 2.375}

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