X(x+1)+4=(x-2)(x+7)-2

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Solution for X(x+1)+4=(x-2)(x+7)-2 equation: 


Simplifying
X(x + 1) + 4 = (x + -2)(x + 7) + -2

Reorder the terms:
X(1 + x) + 4 = (x + -2)(x + 7) + -2
(1 * X + x * X) + 4 = (x + -2)(x + 7) + -2
(1X + xX) + 4 = (x + -2)(x + 7) + -2

Reorder the terms:
4 + 1X + xX = (x + -2)(x + 7) + -2

Reorder the terms:
4 + 1X + xX = (-2 + x)(x + 7) + -2

Reorder the terms:
4 + 1X + xX = (-2 + x)(7 + x) + -2

Multiply (-2 + x) * (7 + x)
4 + 1X + xX = (-2(7 + x) + x(7 + x)) + -2
4 + 1X + xX = ((7 * -2 + x * -2) + x(7 + x)) + -2
4 + 1X + xX = ((-14 + -2x) + x(7 + x)) + -2
4 + 1X + xX = (-14 + -2x + (7 * x + x * x)) + -2
4 + 1X + xX = (-14 + -2x + (7x + x2)) + -2

Combine like terms: -2x + 7x = 5x
4 + 1X + xX = (-14 + 5x + x2) + -2

Reorder the terms:
4 + 1X + xX = -14 + -2 + 5x + x2

Combine like terms: -14 + -2 = -16
4 + 1X + xX = -16 + 5x + x2

Solving
4 + 1X + xX = -16 + 5x + x2

Solving for variable 'X'.

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

Add '-4' to each side of the equation.
4 + 1X + -4 + xX = -16 + 5x + -4 + x2

Reorder the terms:
4 + -4 + 1X + xX = -16 + 5x + -4 + x2

Combine like terms: 4 + -4 = 0
0 + 1X + xX = -16 + 5x + -4 + x2
1X + xX = -16 + 5x + -4 + x2

Reorder the terms:
1X + xX = -16 + -4 + 5x + x2

Combine like terms: -16 + -4 = -20
1X + xX = -20 + 5x + x2

Reorder the terms:
20 + 1X + -5x + xX + -1x2 = -20 + 5x + x2 + 20 + -5x + -1x2

Reorder the terms:
20 + 1X + -5x + xX + -1x2 = -20 + 20 + 5x + -5x + x2 + -1x2

Combine like terms: -20 + 20 = 0
20 + 1X + -5x + xX + -1x2 = 0 + 5x + -5x + x2 + -1x2
20 + 1X + -5x + xX + -1x2 = 5x + -5x + x2 + -1x2

Combine like terms: 5x + -5x = 0
20 + 1X + -5x + xX + -1x2 = 0 + x2 + -1x2
20 + 1X + -5x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
20 + 1X + -5x + xX + -1x2 = 0

The solution to this equation could not be determined.

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