X(X+2)+2X(X-3)+7=3x(X-5)-12

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Solution for X(X+2)+2X(X-3)+7=3x(X-5)-12 equation:


Simplifying
X(X + 2) + 2X(X + -3) + 7 = 3x(X + -5) + -12

Reorder the terms:
X(2 + X) + 2X(X + -3) + 7 = 3x(X + -5) + -12
(2 * X + X * X) + 2X(X + -3) + 7 = 3x(X + -5) + -12
(2X + X2) + 2X(X + -3) + 7 = 3x(X + -5) + -12

Reorder the terms:
2X + X2 + 2X(-3 + X) + 7 = 3x(X + -5) + -12
2X + X2 + (-3 * 2X + X * 2X) + 7 = 3x(X + -5) + -12
2X + X2 + (-6X + 2X2) + 7 = 3x(X + -5) + -12

Reorder the terms:
7 + 2X + -6X + X2 + 2X2 = 3x(X + -5) + -12

Combine like terms: 2X + -6X = -4X
7 + -4X + X2 + 2X2 = 3x(X + -5) + -12

Combine like terms: X2 + 2X2 = 3X2
7 + -4X + 3X2 = 3x(X + -5) + -12

Reorder the terms:
7 + -4X + 3X2 = 3x(-5 + X) + -12
7 + -4X + 3X2 = (-5 * 3x + X * 3x) + -12
7 + -4X + 3X2 = (-15x + 3xX) + -12

Reorder the terms:
7 + -4X + 3X2 = -12 + -15x + 3xX

Solving
7 + -4X + 3X2 = -12 + -15x + 3xX

Solving for variable 'X'.

Reorder the terms:
7 + 12 + -4X + 3X2 + 15x + -3xX = -12 + -15x + 3xX + 12 + 15x + -3xX

Combine like terms: 7 + 12 = 19
19 + -4X + 3X2 + 15x + -3xX = -12 + -15x + 3xX + 12 + 15x + -3xX

Reorder the terms:
19 + -4X + 3X2 + 15x + -3xX = -12 + 12 + -15x + 15x + 3xX + -3xX

Combine like terms: -12 + 12 = 0
19 + -4X + 3X2 + 15x + -3xX = 0 + -15x + 15x + 3xX + -3xX
19 + -4X + 3X2 + 15x + -3xX = -15x + 15x + 3xX + -3xX

Combine like terms: -15x + 15x = 0
19 + -4X + 3X2 + 15x + -3xX = 0 + 3xX + -3xX
19 + -4X + 3X2 + 15x + -3xX = 3xX + -3xX

Combine like terms: 3xX + -3xX = 0
19 + -4X + 3X2 + 15x + -3xX = 0

The solution to this equation could not be determined.

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