X(x-3)+4x-3=8x+x(3x+x)

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Solution for X(x-3)+4x-3=8x+x(3x+x) equation:


Simplifying
X(x + -3) + 4x + -3 = 8x + x(3x + x)

Reorder the terms:
X(-3 + x) + 4x + -3 = 8x + x(3x + x)
(-3 * X + x * X) + 4x + -3 = 8x + x(3x + x)
(-3X + xX) + 4x + -3 = 8x + x(3x + x)

Reorder the terms:
-3 + -3X + 4x + xX = 8x + x(3x + x)

Combine like terms: 3x + x = 4x
-3 + -3X + 4x + xX = 8x + x(4x)

Remove parenthesis around (4x)
-3 + -3X + 4x + xX = 8x + x * 4x

Reorder the terms for easier multiplication:
-3 + -3X + 4x + xX = 8x + 4x * x

Multiply x * x
-3 + -3X + 4x + xX = 8x + 4x2

Solving
-3 + -3X + 4x + xX = 8x + 4x2

Solving for variable 'X'.

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

Add '3' to each side of the equation.
-3 + -3X + 4x + 3 + xX = 8x + 3 + 4x2

Reorder the terms:
-3 + 3 + -3X + 4x + xX = 8x + 3 + 4x2

Combine like terms: -3 + 3 = 0
0 + -3X + 4x + xX = 8x + 3 + 4x2
-3X + 4x + xX = 8x + 3 + 4x2

Reorder the terms:
-3X + 4x + xX = 3 + 8x + 4x2

Add '-4x' to each side of the equation.
-3X + 4x + -4x + xX = 3 + 8x + -4x + 4x2

Combine like terms: 4x + -4x = 0
-3X + 0 + xX = 3 + 8x + -4x + 4x2
-3X + xX = 3 + 8x + -4x + 4x2

Combine like terms: 8x + -4x = 4x
-3X + xX = 3 + 4x + 4x2

Reorder the terms:
-3 + -3X + -4x + xX + -4x2 = 3 + 4x + 4x2 + -3 + -4x + -4x2

Reorder the terms:
-3 + -3X + -4x + xX + -4x2 = 3 + -3 + 4x + -4x + 4x2 + -4x2

Combine like terms: 3 + -3 = 0
-3 + -3X + -4x + xX + -4x2 = 0 + 4x + -4x + 4x2 + -4x2
-3 + -3X + -4x + xX + -4x2 = 4x + -4x + 4x2 + -4x2

Combine like terms: 4x + -4x = 0
-3 + -3X + -4x + xX + -4x2 = 0 + 4x2 + -4x2
-3 + -3X + -4x + xX + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-3 + -3X + -4x + xX + -4x2 = 0

The solution to this equation could not be determined.

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