(X+6)(2x-1)+(x+6)(2x+7)=0

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Solution for (X+6)(2x-1)+(x+6)(2x+7)=0 equation: 


Simplifying
(X + 6)(2x + -1) + (x + 6)(2x + 7) = 0

Reorder the terms:
(6 + X)(2x + -1) + (x + 6)(2x + 7) = 0

Reorder the terms:
(6 + X)(-1 + 2x) + (x + 6)(2x + 7) = 0

Multiply (6 + X) * (-1 + 2x)
(6(-1 + 2x) + X(-1 + 2x)) + (x + 6)(2x + 7) = 0
((-1 * 6 + 2x * 6) + X(-1 + 2x)) + (x + 6)(2x + 7) = 0
((-6 + 12x) + X(-1 + 2x)) + (x + 6)(2x + 7) = 0
(-6 + 12x + (-1 * X + 2x * X)) + (x + 6)(2x + 7) = 0
(-6 + 12x + (-1X + 2xX)) + (x + 6)(2x + 7) = 0

Reorder the terms:
(-6 + -1X + 12x + 2xX) + (x + 6)(2x + 7) = 0
(-6 + -1X + 12x + 2xX) + (x + 6)(2x + 7) = 0

Reorder the terms:
-6 + -1X + 12x + 2xX + (6 + x)(2x + 7) = 0

Reorder the terms:
-6 + -1X + 12x + 2xX + (6 + x)(7 + 2x) = 0

Multiply (6 + x) * (7 + 2x)
-6 + -1X + 12x + 2xX + (6(7 + 2x) + x(7 + 2x)) = 0
-6 + -1X + 12x + 2xX + ((7 * 6 + 2x * 6) + x(7 + 2x)) = 0
-6 + -1X + 12x + 2xX + ((42 + 12x) + x(7 + 2x)) = 0
-6 + -1X + 12x + 2xX + (42 + 12x + (7 * x + 2x * x)) = 0
-6 + -1X + 12x + 2xX + (42 + 12x + (7x + 2x2)) = 0

Combine like terms: 12x + 7x = 19x
-6 + -1X + 12x + 2xX + (42 + 19x + 2x2) = 0

Reorder the terms:
-6 + 42 + -1X + 12x + 19x + 2xX + 2x2 = 0

Combine like terms: -6 + 42 = 36
36 + -1X + 12x + 19x + 2xX + 2x2 = 0

Combine like terms: 12x + 19x = 31x
36 + -1X + 31x + 2xX + 2x2 = 0

Solving
36 + -1X + 31x + 2xX + 2x2 = 0

Solving for variable 'X'.

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

Add '-36' to each side of the equation.
36 + -1X + 31x + 2xX + -36 + 2x2 = 0 + -36

Reorder the terms:
36 + -36 + -1X + 31x + 2xX + 2x2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -1X + 31x + 2xX + 2x2 = 0 + -36
-1X + 31x + 2xX + 2x2 = 0 + -36

Combine like terms: 0 + -36 = -36
-1X + 31x + 2xX + 2x2 = -36

Add '-31x' to each side of the equation.
-1X + 31x + 2xX + -31x + 2x2 = -36 + -31x

Reorder the terms:
-1X + 31x + -31x + 2xX + 2x2 = -36 + -31x

Combine like terms: 31x + -31x = 0
-1X + 0 + 2xX + 2x2 = -36 + -31x
-1X + 2xX + 2x2 = -36 + -31x

Add '-2x2' to each side of the equation.
-1X + 2xX + 2x2 + -2x2 = -36 + -31x + -2x2

Combine like terms: 2x2 + -2x2 = 0
-1X + 2xX + 0 = -36 + -31x + -2x2
-1X + 2xX = -36 + -31x + -2x2

Reorder the terms:
36 + -1X + 31x + 2xX + 2x2 = -36 + -31x + -2x2 + 36 + 31x + 2x2

Reorder the terms:
36 + -1X + 31x + 2xX + 2x2 = -36 + 36 + -31x + 31x + -2x2 + 2x2

Combine like terms: -36 + 36 = 0
36 + -1X + 31x + 2xX + 2x2 = 0 + -31x + 31x + -2x2 + 2x2
36 + -1X + 31x + 2xX + 2x2 = -31x + 31x + -2x2 + 2x2

Combine like terms: -31x + 31x = 0
36 + -1X + 31x + 2xX + 2x2 = 0 + -2x2 + 2x2
36 + -1X + 31x + 2xX + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
36 + -1X + 31x + 2xX + 2x2 = 0

The solution to this equation could not be determined.

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