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

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


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

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

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

Multiply (6 + X) * (-4 + 5x + 2x2)
(6(-4 + 5x + 2x2) + X(-4 + 5x + 2x2)) = 0
((-4 * 6 + 5x * 6 + 2x2 * 6) + X(-4 + 5x + 2x2)) = 0
((-24 + 30x + 12x2) + X(-4 + 5x + 2x2)) = 0
(-24 + 30x + 12x2 + (-4 * X + 5x * X + 2x2 * X)) = 0
(-24 + 30x + 12x2 + (-4X + 5xX + 2x2X)) = 0

Reorder the terms:
(-24 + -4X + 30x + 5xX + 12x2 + 2x2X) = 0
(-24 + -4X + 30x + 5xX + 12x2 + 2x2X) = 0

Solving
-24 + -4X + 30x + 5xX + 12x2 + 2x2X = 0

Solving for variable 'X'.

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

Add '24' to each side of the equation.
-24 + -4X + 30x + 5xX + 12x2 + 24 + 2x2X = 0 + 24

Reorder the terms:
-24 + 24 + -4X + 30x + 5xX + 12x2 + 2x2X = 0 + 24

Combine like terms: -24 + 24 = 0
0 + -4X + 30x + 5xX + 12x2 + 2x2X = 0 + 24
-4X + 30x + 5xX + 12x2 + 2x2X = 0 + 24

Combine like terms: 0 + 24 = 24
-4X + 30x + 5xX + 12x2 + 2x2X = 24

Add '-30x' to each side of the equation.
-4X + 30x + 5xX + 12x2 + -30x + 2x2X = 24 + -30x

Reorder the terms:
-4X + 30x + -30x + 5xX + 12x2 + 2x2X = 24 + -30x

Combine like terms: 30x + -30x = 0
-4X + 0 + 5xX + 12x2 + 2x2X = 24 + -30x
-4X + 5xX + 12x2 + 2x2X = 24 + -30x

Add '-12x2' to each side of the equation.
-4X + 5xX + 12x2 + -12x2 + 2x2X = 24 + -30x + -12x2

Combine like terms: 12x2 + -12x2 = 0
-4X + 5xX + 0 + 2x2X = 24 + -30x + -12x2
-4X + 5xX + 2x2X = 24 + -30x + -12x2

Reorder the terms:
-24 + -4X + 30x + 5xX + 12x2 + 2x2X = 24 + -30x + -12x2 + -24 + 30x + 12x2

Reorder the terms:
-24 + -4X + 30x + 5xX + 12x2 + 2x2X = 24 + -24 + -30x + 30x + -12x2 + 12x2

Combine like terms: 24 + -24 = 0
-24 + -4X + 30x + 5xX + 12x2 + 2x2X = 0 + -30x + 30x + -12x2 + 12x2
-24 + -4X + 30x + 5xX + 12x2 + 2x2X = -30x + 30x + -12x2 + 12x2

Combine like terms: -30x + 30x = 0
-24 + -4X + 30x + 5xX + 12x2 + 2x2X = 0 + -12x2 + 12x2
-24 + -4X + 30x + 5xX + 12x2 + 2x2X = -12x2 + 12x2

Combine like terms: -12x2 + 12x2 = 0
-24 + -4X + 30x + 5xX + 12x2 + 2x2X = 0

The solution to this equation could not be determined.

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