(X-3)(x+4)(2x+1)=0

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Solution for (X-3)(x+4)(2x+1)=0 equation:


Simplifying
(X + -3)(x + 4)(2x + 1) = 0

Reorder the terms:
(-3 + X)(x + 4)(2x + 1) = 0

Reorder the terms:
(-3 + X)(4 + x)(2x + 1) = 0

Reorder the terms:
(-3 + X)(4 + x)(1 + 2x) = 0

Multiply (-3 + X) * (4 + x)
(-3(4 + x) + X(4 + x))(1 + 2x) = 0
((4 * -3 + x * -3) + X(4 + x))(1 + 2x) = 0
((-12 + -3x) + X(4 + x))(1 + 2x) = 0
(-12 + -3x + (4 * X + x * X))(1 + 2x) = 0
(-12 + -3x + (4X + xX))(1 + 2x) = 0

Reorder the terms:
(-12 + 4X + -3x + xX)(1 + 2x) = 0
(-12 + 4X + -3x + xX)(1 + 2x) = 0

Multiply (-12 + 4X + -3x + xX) * (1 + 2x)
(-12(1 + 2x) + 4X * (1 + 2x) + -3x * (1 + 2x) + xX(1 + 2x)) = 0
((1 * -12 + 2x * -12) + 4X * (1 + 2x) + -3x * (1 + 2x) + xX(1 + 2x)) = 0
((-12 + -24x) + 4X * (1 + 2x) + -3x * (1 + 2x) + xX(1 + 2x)) = 0
(-12 + -24x + (1 * 4X + 2x * 4X) + -3x * (1 + 2x) + xX(1 + 2x)) = 0
(-12 + -24x + (4X + 8xX) + -3x * (1 + 2x) + xX(1 + 2x)) = 0
(-12 + -24x + 4X + 8xX + (1 * -3x + 2x * -3x) + xX(1 + 2x)) = 0
(-12 + -24x + 4X + 8xX + (-3x + -6x2) + xX(1 + 2x)) = 0
(-12 + -24x + 4X + 8xX + -3x + -6x2 + (1 * xX + 2x * xX)) = 0
(-12 + -24x + 4X + 8xX + -3x + -6x2 + (1xX + 2x2X)) = 0

Reorder the terms:
(-12 + 4X + -24x + -3x + 8xX + 1xX + -6x2 + 2x2X) = 0

Combine like terms: -24x + -3x = -27x
(-12 + 4X + -27x + 8xX + 1xX + -6x2 + 2x2X) = 0

Combine like terms: 8xX + 1xX = 9xX
(-12 + 4X + -27x + 9xX + -6x2 + 2x2X) = 0

Solving
-12 + 4X + -27x + 9xX + -6x2 + 2x2X = 0

Solving for variable 'X'.

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

Add '12' to each side of the equation.
-12 + 4X + -27x + 9xX + -6x2 + 12 + 2x2X = 0 + 12

Reorder the terms:
-12 + 12 + 4X + -27x + 9xX + -6x2 + 2x2X = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 4X + -27x + 9xX + -6x2 + 2x2X = 0 + 12
4X + -27x + 9xX + -6x2 + 2x2X = 0 + 12

Combine like terms: 0 + 12 = 12
4X + -27x + 9xX + -6x2 + 2x2X = 12

Add '27x' to each side of the equation.
4X + -27x + 9xX + -6x2 + 27x + 2x2X = 12 + 27x

Reorder the terms:
4X + -27x + 27x + 9xX + -6x2 + 2x2X = 12 + 27x

Combine like terms: -27x + 27x = 0
4X + 0 + 9xX + -6x2 + 2x2X = 12 + 27x
4X + 9xX + -6x2 + 2x2X = 12 + 27x

Add '6x2' to each side of the equation.
4X + 9xX + -6x2 + 6x2 + 2x2X = 12 + 27x + 6x2

Combine like terms: -6x2 + 6x2 = 0
4X + 9xX + 0 + 2x2X = 12 + 27x + 6x2
4X + 9xX + 2x2X = 12 + 27x + 6x2

Reorder the terms:
-12 + 4X + -27x + 9xX + -6x2 + 2x2X = 12 + 27x + 6x2 + -12 + -27x + -6x2

Reorder the terms:
-12 + 4X + -27x + 9xX + -6x2 + 2x2X = 12 + -12 + 27x + -27x + 6x2 + -6x2

Combine like terms: 12 + -12 = 0
-12 + 4X + -27x + 9xX + -6x2 + 2x2X = 0 + 27x + -27x + 6x2 + -6x2
-12 + 4X + -27x + 9xX + -6x2 + 2x2X = 27x + -27x + 6x2 + -6x2

Combine like terms: 27x + -27x = 0
-12 + 4X + -27x + 9xX + -6x2 + 2x2X = 0 + 6x2 + -6x2
-12 + 4X + -27x + 9xX + -6x2 + 2x2X = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-12 + 4X + -27x + 9xX + -6x2 + 2x2X = 0

The solution to this equation could not be determined.

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