(X^2+x-6)(3x^2-14x-5)=0

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Solution for (X^2+x-6)(3x^2-14x-5)=0 equation: 


Simplifying
(X2 + x + -6)(3x2 + -14x + -5) = 0

Reorder the terms:
(-6 + X2 + x)(3x2 + -14x + -5) = 0

Reorder the terms:
(-6 + X2 + x)(-5 + -14x + 3x2) = 0

Multiply (-6 + X2 + x) * (-5 + -14x + 3x2)
(-6(-5 + -14x + 3x2) + X2(-5 + -14x + 3x2) + x(-5 + -14x + 3x2)) = 0
((-5 * -6 + -14x * -6 + 3x2 * -6) + X2(-5 + -14x + 3x2) + x(-5 + -14x + 3x2)) = 0
((30 + 84x + -18x2) + X2(-5 + -14x + 3x2) + x(-5 + -14x + 3x2)) = 0
(30 + 84x + -18x2 + (-5 * X2 + -14x * X2 + 3x2 * X2) + x(-5 + -14x + 3x2)) = 0
(30 + 84x + -18x2 + (-5X2 + -14xX2 + 3x2X2) + x(-5 + -14x + 3x2)) = 0
(30 + 84x + -18x2 + -5X2 + -14xX2 + 3x2X2 + (-5 * x + -14x * x + 3x2 * x)) = 0
(30 + 84x + -18x2 + -5X2 + -14xX2 + 3x2X2 + (-5x + -14x2 + 3x3)) = 0

Reorder the terms:
(30 + -5X2 + 84x + -5x + -14xX2 + -18x2 + -14x2 + 3x2X2 + 3x3) = 0

Combine like terms: 84x + -5x = 79x
(30 + -5X2 + 79x + -14xX2 + -18x2 + -14x2 + 3x2X2 + 3x3) = 0

Combine like terms: -18x2 + -14x2 = -32x2
(30 + -5X2 + 79x + -14xX2 + -32x2 + 3x2X2 + 3x3) = 0

Solving
30 + -5X2 + 79x + -14xX2 + -32x2 + 3x2X2 + 3x3 = 0

Solving for variable 'X'.

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

Add '-30' to each side of the equation.
30 + -5X2 + 79x + -14xX2 + -32x2 + 3x2X2 + -30 + 3x3 = 0 + -30

Reorder the terms:
30 + -30 + -5X2 + 79x + -14xX2 + -32x2 + 3x2X2 + 3x3 = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -5X2 + 79x + -14xX2 + -32x2 + 3x2X2 + 3x3 = 0 + -30
-5X2 + 79x + -14xX2 + -32x2 + 3x2X2 + 3x3 = 0 + -30

Combine like terms: 0 + -30 = -30
-5X2 + 79x + -14xX2 + -32x2 + 3x2X2 + 3x3 = -30

Add '-79x' to each side of the equation.
-5X2 + 79x + -14xX2 + -32x2 + 3x2X2 + -79x + 3x3 = -30 + -79x

Reorder the terms:
-5X2 + 79x + -79x + -14xX2 + -32x2 + 3x2X2 + 3x3 = -30 + -79x

Combine like terms: 79x + -79x = 0
-5X2 + 0 + -14xX2 + -32x2 + 3x2X2 + 3x3 = -30 + -79x
-5X2 + -14xX2 + -32x2 + 3x2X2 + 3x3 = -30 + -79x

Add '32x2' to each side of the equation.
-5X2 + -14xX2 + -32x2 + 3x2X2 + 32x2 + 3x3 = -30 + -79x + 32x2

Reorder the terms:
-5X2 + -14xX2 + -32x2 + 32x2 + 3x2X2 + 3x3 = -30 + -79x + 32x2

Combine like terms: -32x2 + 32x2 = 0
-5X2 + -14xX2 + 0 + 3x2X2 + 3x3 = -30 + -79x + 32x2
-5X2 + -14xX2 + 3x2X2 + 3x3 = -30 + -79x + 32x2

Add '-3x3' to each side of the equation.
-5X2 + -14xX2 + 3x2X2 + 3x3 + -3x3 = -30 + -79x + 32x2 + -3x3

Combine like terms: 3x3 + -3x3 = 0
-5X2 + -14xX2 + 3x2X2 + 0 = -30 + -79x + 32x2 + -3x3
-5X2 + -14xX2 + 3x2X2 = -30 + -79x + 32x2 + -3x3

Reorder the terms:
30 + -5X2 + 79x + -14xX2 + -32x2 + 3x2X2 + 3x3 = -30 + -79x + 32x2 + -3x3 + 30 + 79x + -32x2 + 3x3

Reorder the terms:
30 + -5X2 + 79x + -14xX2 + -32x2 + 3x2X2 + 3x3 = -30 + 30 + -79x + 79x + 32x2 + -32x2 + -3x3 + 3x3

Combine like terms: -30 + 30 = 0
30 + -5X2 + 79x + -14xX2 + -32x2 + 3x2X2 + 3x3 = 0 + -79x + 79x + 32x2 + -32x2 + -3x3 + 3x3
30 + -5X2 + 79x + -14xX2 + -32x2 + 3x2X2 + 3x3 = -79x + 79x + 32x2 + -32x2 + -3x3 + 3x3

Combine like terms: -79x + 79x = 0
30 + -5X2 + 79x + -14xX2 + -32x2 + 3x2X2 + 3x3 = 0 + 32x2 + -32x2 + -3x3 + 3x3
30 + -5X2 + 79x + -14xX2 + -32x2 + 3x2X2 + 3x3 = 32x2 + -32x2 + -3x3 + 3x3

Combine like terms: 32x2 + -32x2 = 0
30 + -5X2 + 79x + -14xX2 + -32x2 + 3x2X2 + 3x3 = 0 + -3x3 + 3x3
30 + -5X2 + 79x + -14xX2 + -32x2 + 3x2X2 + 3x3 = -3x3 + 3x3

Combine like terms: -3x3 + 3x3 = 0
30 + -5X2 + 79x + -14xX2 + -32x2 + 3x2X2 + 3x3 = 0

The solution to this equation could not be determined.

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