(X+5)(x-6)(4x-3)=0

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Solution for (X+5)(x-6)(4x-3)=0 equation: 


Simplifying
(X + 5)(x + -6)(4x + -3) = 0

Reorder the terms:
(5 + X)(x + -6)(4x + -3) = 0

Reorder the terms:
(5 + X)(-6 + x)(4x + -3) = 0

Reorder the terms:
(5 + X)(-6 + x)(-3 + 4x) = 0

Multiply (5 + X) * (-6 + x)
(5(-6 + x) + X(-6 + x))(-3 + 4x) = 0
((-6 * 5 + x * 5) + X(-6 + x))(-3 + 4x) = 0
((-30 + 5x) + X(-6 + x))(-3 + 4x) = 0
(-30 + 5x + (-6 * X + x * X))(-3 + 4x) = 0
(-30 + 5x + (-6X + xX))(-3 + 4x) = 0

Reorder the terms:
(-30 + -6X + 5x + xX)(-3 + 4x) = 0
(-30 + -6X + 5x + xX)(-3 + 4x) = 0

Multiply (-30 + -6X + 5x + xX) * (-3 + 4x)
(-30(-3 + 4x) + -6X * (-3 + 4x) + 5x * (-3 + 4x) + xX(-3 + 4x)) = 0
((-3 * -30 + 4x * -30) + -6X * (-3 + 4x) + 5x * (-3 + 4x) + xX(-3 + 4x)) = 0
((90 + -120x) + -6X * (-3 + 4x) + 5x * (-3 + 4x) + xX(-3 + 4x)) = 0
(90 + -120x + (-3 * -6X + 4x * -6X) + 5x * (-3 + 4x) + xX(-3 + 4x)) = 0
(90 + -120x + (18X + -24xX) + 5x * (-3 + 4x) + xX(-3 + 4x)) = 0
(90 + -120x + 18X + -24xX + (-3 * 5x + 4x * 5x) + xX(-3 + 4x)) = 0
(90 + -120x + 18X + -24xX + (-15x + 20x2) + xX(-3 + 4x)) = 0
(90 + -120x + 18X + -24xX + -15x + 20x2 + (-3 * xX + 4x * xX)) = 0
(90 + -120x + 18X + -24xX + -15x + 20x2 + (-3xX + 4x2X)) = 0

Reorder the terms:
(90 + 18X + -120x + -15x + -24xX + -3xX + 20x2 + 4x2X) = 0

Combine like terms: -120x + -15x = -135x
(90 + 18X + -135x + -24xX + -3xX + 20x2 + 4x2X) = 0

Combine like terms: -24xX + -3xX = -27xX
(90 + 18X + -135x + -27xX + 20x2 + 4x2X) = 0

Solving
90 + 18X + -135x + -27xX + 20x2 + 4x2X = 0

Solving for variable 'X'.

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

Add '-90' to each side of the equation.
90 + 18X + -135x + -27xX + 20x2 + -90 + 4x2X = 0 + -90

Reorder the terms:
90 + -90 + 18X + -135x + -27xX + 20x2 + 4x2X = 0 + -90

Combine like terms: 90 + -90 = 0
0 + 18X + -135x + -27xX + 20x2 + 4x2X = 0 + -90
18X + -135x + -27xX + 20x2 + 4x2X = 0 + -90

Combine like terms: 0 + -90 = -90
18X + -135x + -27xX + 20x2 + 4x2X = -90

Add '135x' to each side of the equation.
18X + -135x + -27xX + 20x2 + 135x + 4x2X = -90 + 135x

Reorder the terms:
18X + -135x + 135x + -27xX + 20x2 + 4x2X = -90 + 135x

Combine like terms: -135x + 135x = 0
18X + 0 + -27xX + 20x2 + 4x2X = -90 + 135x
18X + -27xX + 20x2 + 4x2X = -90 + 135x

Add '-20x2' to each side of the equation.
18X + -27xX + 20x2 + -20x2 + 4x2X = -90 + 135x + -20x2

Combine like terms: 20x2 + -20x2 = 0
18X + -27xX + 0 + 4x2X = -90 + 135x + -20x2
18X + -27xX + 4x2X = -90 + 135x + -20x2

Reorder the terms:
90 + 18X + -135x + -27xX + 20x2 + 4x2X = -90 + 135x + -20x2 + 90 + -135x + 20x2

Reorder the terms:
90 + 18X + -135x + -27xX + 20x2 + 4x2X = -90 + 90 + 135x + -135x + -20x2 + 20x2

Combine like terms: -90 + 90 = 0
90 + 18X + -135x + -27xX + 20x2 + 4x2X = 0 + 135x + -135x + -20x2 + 20x2
90 + 18X + -135x + -27xX + 20x2 + 4x2X = 135x + -135x + -20x2 + 20x2

Combine like terms: 135x + -135x = 0
90 + 18X + -135x + -27xX + 20x2 + 4x2X = 0 + -20x2 + 20x2
90 + 18X + -135x + -27xX + 20x2 + 4x2X = -20x2 + 20x2

Combine like terms: -20x2 + 20x2 = 0
90 + 18X + -135x + -27xX + 20x2 + 4x2X = 0

The solution to this equation could not be determined.

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