(X^2+5x+4)(6x^2-x-2)=0

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Solution for (X^2+5x+4)(6x^2-x-2)=0 equation: 


Simplifying
(X2 + 5x + 4)(6x2 + -1x + -2) = 0

Reorder the terms:
(4 + X2 + 5x)(6x2 + -1x + -2) = 0

Reorder the terms:
(4 + X2 + 5x)(-2 + -1x + 6x2) = 0

Multiply (4 + X2 + 5x) * (-2 + -1x + 6x2)
(4(-2 + -1x + 6x2) + X2(-2 + -1x + 6x2) + 5x * (-2 + -1x + 6x2)) = 0
((-2 * 4 + -1x * 4 + 6x2 * 4) + X2(-2 + -1x + 6x2) + 5x * (-2 + -1x + 6x2)) = 0
((-8 + -4x + 24x2) + X2(-2 + -1x + 6x2) + 5x * (-2 + -1x + 6x2)) = 0
(-8 + -4x + 24x2 + (-2 * X2 + -1x * X2 + 6x2 * X2) + 5x * (-2 + -1x + 6x2)) = 0
(-8 + -4x + 24x2 + (-2X2 + -1xX2 + 6x2X2) + 5x * (-2 + -1x + 6x2)) = 0
(-8 + -4x + 24x2 + -2X2 + -1xX2 + 6x2X2 + (-2 * 5x + -1x * 5x + 6x2 * 5x)) = 0
(-8 + -4x + 24x2 + -2X2 + -1xX2 + 6x2X2 + (-10x + -5x2 + 30x3)) = 0

Reorder the terms:
(-8 + -2X2 + -4x + -10x + -1xX2 + 24x2 + -5x2 + 6x2X2 + 30x3) = 0

Combine like terms: -4x + -10x = -14x
(-8 + -2X2 + -14x + -1xX2 + 24x2 + -5x2 + 6x2X2 + 30x3) = 0

Combine like terms: 24x2 + -5x2 = 19x2
(-8 + -2X2 + -14x + -1xX2 + 19x2 + 6x2X2 + 30x3) = 0

Solving
-8 + -2X2 + -14x + -1xX2 + 19x2 + 6x2X2 + 30x3 = 0

Solving for variable 'X'.

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

Add '8' to each side of the equation.
-8 + -2X2 + -14x + -1xX2 + 19x2 + 6x2X2 + 8 + 30x3 = 0 + 8

Reorder the terms:
-8 + 8 + -2X2 + -14x + -1xX2 + 19x2 + 6x2X2 + 30x3 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -2X2 + -14x + -1xX2 + 19x2 + 6x2X2 + 30x3 = 0 + 8
-2X2 + -14x + -1xX2 + 19x2 + 6x2X2 + 30x3 = 0 + 8

Combine like terms: 0 + 8 = 8
-2X2 + -14x + -1xX2 + 19x2 + 6x2X2 + 30x3 = 8

Add '14x' to each side of the equation.
-2X2 + -14x + -1xX2 + 19x2 + 6x2X2 + 14x + 30x3 = 8 + 14x

Reorder the terms:
-2X2 + -14x + 14x + -1xX2 + 19x2 + 6x2X2 + 30x3 = 8 + 14x

Combine like terms: -14x + 14x = 0
-2X2 + 0 + -1xX2 + 19x2 + 6x2X2 + 30x3 = 8 + 14x
-2X2 + -1xX2 + 19x2 + 6x2X2 + 30x3 = 8 + 14x

Add '-19x2' to each side of the equation.
-2X2 + -1xX2 + 19x2 + 6x2X2 + -19x2 + 30x3 = 8 + 14x + -19x2

Reorder the terms:
-2X2 + -1xX2 + 19x2 + -19x2 + 6x2X2 + 30x3 = 8 + 14x + -19x2

Combine like terms: 19x2 + -19x2 = 0
-2X2 + -1xX2 + 0 + 6x2X2 + 30x3 = 8 + 14x + -19x2
-2X2 + -1xX2 + 6x2X2 + 30x3 = 8 + 14x + -19x2

Add '-30x3' to each side of the equation.
-2X2 + -1xX2 + 6x2X2 + 30x3 + -30x3 = 8 + 14x + -19x2 + -30x3

Combine like terms: 30x3 + -30x3 = 0
-2X2 + -1xX2 + 6x2X2 + 0 = 8 + 14x + -19x2 + -30x3
-2X2 + -1xX2 + 6x2X2 = 8 + 14x + -19x2 + -30x3

Reorder the terms:
-8 + -2X2 + -14x + -1xX2 + 19x2 + 6x2X2 + 30x3 = 8 + 14x + -19x2 + -30x3 + -8 + -14x + 19x2 + 30x3

Reorder the terms:
-8 + -2X2 + -14x + -1xX2 + 19x2 + 6x2X2 + 30x3 = 8 + -8 + 14x + -14x + -19x2 + 19x2 + -30x3 + 30x3

Combine like terms: 8 + -8 = 0
-8 + -2X2 + -14x + -1xX2 + 19x2 + 6x2X2 + 30x3 = 0 + 14x + -14x + -19x2 + 19x2 + -30x3 + 30x3
-8 + -2X2 + -14x + -1xX2 + 19x2 + 6x2X2 + 30x3 = 14x + -14x + -19x2 + 19x2 + -30x3 + 30x3

Combine like terms: 14x + -14x = 0
-8 + -2X2 + -14x + -1xX2 + 19x2 + 6x2X2 + 30x3 = 0 + -19x2 + 19x2 + -30x3 + 30x3
-8 + -2X2 + -14x + -1xX2 + 19x2 + 6x2X2 + 30x3 = -19x2 + 19x2 + -30x3 + 30x3

Combine like terms: -19x2 + 19x2 = 0
-8 + -2X2 + -14x + -1xX2 + 19x2 + 6x2X2 + 30x3 = 0 + -30x3 + 30x3
-8 + -2X2 + -14x + -1xX2 + 19x2 + 6x2X2 + 30x3 = -30x3 + 30x3

Combine like terms: -30x3 + 30x3 = 0
-8 + -2X2 + -14x + -1xX2 + 19x2 + 6x2X2 + 30x3 = 0

The solution to this equation could not be determined.

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