(x-2x)(3x-8)=-14x

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Solution for (x-2x)(3x-8)=-14x equation: 


Simplifying
(x + -2x)(3x + -8) = -14x

Combine like terms: x + -2x = -1x
(-1x)(3x + -8) = -14x

Remove parenthesis around (-1x)
-1x(3x + -8) = -14x

Reorder the terms:
-1x(-8 + 3x) = -14x
(-8 * -1x + 3x * -1x) = -14x
(8x + -3x2) = -14x

Solving
8x + -3x2 = -14x

Solving for variable 'x'.

Reorder the terms:
8x + 14x + -3x2 = -14x + 14x

Combine like terms: 8x + 14x = 22x
22x + -3x2 = -14x + 14x

Combine like terms: -14x + 14x = 0
22x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(22 + -3x) = 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 '(22 + -3x)' equal to zero and attempt to solve:

Simplifying
22 + -3x = 0

Solving
22 + -3x = 0

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

Add '-22' to each side of the equation.
22 + -22 + -3x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -3x = 0 + -22
-3x = 0 + -22

Combine like terms: 0 + -22 = -22
-3x = -22

Divide each side by '-3'.
x = 7.333333333

Simplifying
x = 7.333333333
Solution
x = {0, 7.333333333}

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