X(2x-1)=x(2x)+5x+-12

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Solution for X(2x-1)=x(2x)+5x+-12 equation:


Simplifying
X(2x + -1) = x(2x) + 5x + -12

Reorder the terms:
X(-1 + 2x) = x(2x) + 5x + -12
(-1 * X + 2x * X) = x(2x) + 5x + -12
(-1X + 2xX) = x(2x) + 5x + -12

Remove parenthesis around (2x)
-1X + 2xX = x * 2x + 5x + -12

Reorder the terms for easier multiplication:
-1X + 2xX = 2x * x + 5x + -12

Multiply x * x
-1X + 2xX = 2x2 + 5x + -12

Reorder the terms:
-1X + 2xX = -12 + 5x + 2x2

Solving
-1X + 2xX = -12 + 5x + 2x2

Solving for variable 'X'.

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

Reorder the terms:
12 + -1X + -5x + 2xX + -2x2 = -12 + 5x + 2x2 + 12 + -5x + -2x2

Reorder the terms:
12 + -1X + -5x + 2xX + -2x2 = -12 + 12 + 5x + -5x + 2x2 + -2x2

Combine like terms: -12 + 12 = 0
12 + -1X + -5x + 2xX + -2x2 = 0 + 5x + -5x + 2x2 + -2x2
12 + -1X + -5x + 2xX + -2x2 = 5x + -5x + 2x2 + -2x2

Combine like terms: 5x + -5x = 0
12 + -1X + -5x + 2xX + -2x2 = 0 + 2x2 + -2x2
12 + -1X + -5x + 2xX + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
12 + -1X + -5x + 2xX + -2x2 = 0

The solution to this equation could not be determined.

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