(X+5)(3x^2+6x-1)=0

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Solution for (X+5)(3x^2+6x-1)=0 equation: 


Simplifying
(X + 5)(3x2 + 6x + -1) = 0

Reorder the terms:
(5 + X)(3x2 + 6x + -1) = 0

Reorder the terms:
(5 + X)(-1 + 6x + 3x2) = 0

Multiply (5 + X) * (-1 + 6x + 3x2)
(5(-1 + 6x + 3x2) + X(-1 + 6x + 3x2)) = 0
((-1 * 5 + 6x * 5 + 3x2 * 5) + X(-1 + 6x + 3x2)) = 0
((-5 + 30x + 15x2) + X(-1 + 6x + 3x2)) = 0
(-5 + 30x + 15x2 + (-1 * X + 6x * X + 3x2 * X)) = 0
(-5 + 30x + 15x2 + (-1X + 6xX + 3x2X)) = 0

Reorder the terms:
(-5 + -1X + 30x + 6xX + 15x2 + 3x2X) = 0
(-5 + -1X + 30x + 6xX + 15x2 + 3x2X) = 0

Solving
-5 + -1X + 30x + 6xX + 15x2 + 3x2X = 0

Solving for variable 'X'.

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

Add '5' to each side of the equation.
-5 + -1X + 30x + 6xX + 15x2 + 5 + 3x2X = 0 + 5

Reorder the terms:
-5 + 5 + -1X + 30x + 6xX + 15x2 + 3x2X = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1X + 30x + 6xX + 15x2 + 3x2X = 0 + 5
-1X + 30x + 6xX + 15x2 + 3x2X = 0 + 5

Combine like terms: 0 + 5 = 5
-1X + 30x + 6xX + 15x2 + 3x2X = 5

Add '-30x' to each side of the equation.
-1X + 30x + 6xX + 15x2 + -30x + 3x2X = 5 + -30x

Reorder the terms:
-1X + 30x + -30x + 6xX + 15x2 + 3x2X = 5 + -30x

Combine like terms: 30x + -30x = 0
-1X + 0 + 6xX + 15x2 + 3x2X = 5 + -30x
-1X + 6xX + 15x2 + 3x2X = 5 + -30x

Add '-15x2' to each side of the equation.
-1X + 6xX + 15x2 + -15x2 + 3x2X = 5 + -30x + -15x2

Combine like terms: 15x2 + -15x2 = 0
-1X + 6xX + 0 + 3x2X = 5 + -30x + -15x2
-1X + 6xX + 3x2X = 5 + -30x + -15x2

Reorder the terms:
-5 + -1X + 30x + 6xX + 15x2 + 3x2X = 5 + -30x + -15x2 + -5 + 30x + 15x2

Reorder the terms:
-5 + -1X + 30x + 6xX + 15x2 + 3x2X = 5 + -5 + -30x + 30x + -15x2 + 15x2

Combine like terms: 5 + -5 = 0
-5 + -1X + 30x + 6xX + 15x2 + 3x2X = 0 + -30x + 30x + -15x2 + 15x2
-5 + -1X + 30x + 6xX + 15x2 + 3x2X = -30x + 30x + -15x2 + 15x2

Combine like terms: -30x + 30x = 0
-5 + -1X + 30x + 6xX + 15x2 + 3x2X = 0 + -15x2 + 15x2
-5 + -1X + 30x + 6xX + 15x2 + 3x2X = -15x2 + 15x2

Combine like terms: -15x2 + 15x2 = 0
-5 + -1X + 30x + 6xX + 15x2 + 3x2X = 0

The solution to this equation could not be determined.

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