(X+5)(x-9)(4x-3)=0

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Solution for (X+5)(x-9)(4x-3)=0 equation: 


Simplifying
(X + 5)(x + -9)(4x + -3) = 0

Reorder the terms:
(5 + X)(x + -9)(4x + -3) = 0

Reorder the terms:
(5 + X)(-9 + x)(4x + -3) = 0

Reorder the terms:
(5 + X)(-9 + x)(-3 + 4x) = 0

Multiply (5 + X) * (-9 + x)
(5(-9 + x) + X(-9 + x))(-3 + 4x) = 0
((-9 * 5 + x * 5) + X(-9 + x))(-3 + 4x) = 0
((-45 + 5x) + X(-9 + x))(-3 + 4x) = 0
(-45 + 5x + (-9 * X + x * X))(-3 + 4x) = 0
(-45 + 5x + (-9X + xX))(-3 + 4x) = 0

Reorder the terms:
(-45 + -9X + 5x + xX)(-3 + 4x) = 0
(-45 + -9X + 5x + xX)(-3 + 4x) = 0

Multiply (-45 + -9X + 5x + xX) * (-3 + 4x)
(-45(-3 + 4x) + -9X * (-3 + 4x) + 5x * (-3 + 4x) + xX(-3 + 4x)) = 0
((-3 * -45 + 4x * -45) + -9X * (-3 + 4x) + 5x * (-3 + 4x) + xX(-3 + 4x)) = 0
((135 + -180x) + -9X * (-3 + 4x) + 5x * (-3 + 4x) + xX(-3 + 4x)) = 0
(135 + -180x + (-3 * -9X + 4x * -9X) + 5x * (-3 + 4x) + xX(-3 + 4x)) = 0
(135 + -180x + (27X + -36xX) + 5x * (-3 + 4x) + xX(-3 + 4x)) = 0
(135 + -180x + 27X + -36xX + (-3 * 5x + 4x * 5x) + xX(-3 + 4x)) = 0
(135 + -180x + 27X + -36xX + (-15x + 20x2) + xX(-3 + 4x)) = 0
(135 + -180x + 27X + -36xX + -15x + 20x2 + (-3 * xX + 4x * xX)) = 0
(135 + -180x + 27X + -36xX + -15x + 20x2 + (-3xX + 4x2X)) = 0

Reorder the terms:
(135 + 27X + -180x + -15x + -36xX + -3xX + 20x2 + 4x2X) = 0

Combine like terms: -180x + -15x = -195x
(135 + 27X + -195x + -36xX + -3xX + 20x2 + 4x2X) = 0

Combine like terms: -36xX + -3xX = -39xX
(135 + 27X + -195x + -39xX + 20x2 + 4x2X) = 0

Solving
135 + 27X + -195x + -39xX + 20x2 + 4x2X = 0

Solving for variable 'X'.

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

Add '-135' to each side of the equation.
135 + 27X + -195x + -39xX + 20x2 + -135 + 4x2X = 0 + -135

Reorder the terms:
135 + -135 + 27X + -195x + -39xX + 20x2 + 4x2X = 0 + -135

Combine like terms: 135 + -135 = 0
0 + 27X + -195x + -39xX + 20x2 + 4x2X = 0 + -135
27X + -195x + -39xX + 20x2 + 4x2X = 0 + -135

Combine like terms: 0 + -135 = -135
27X + -195x + -39xX + 20x2 + 4x2X = -135

Add '195x' to each side of the equation.
27X + -195x + -39xX + 20x2 + 195x + 4x2X = -135 + 195x

Reorder the terms:
27X + -195x + 195x + -39xX + 20x2 + 4x2X = -135 + 195x

Combine like terms: -195x + 195x = 0
27X + 0 + -39xX + 20x2 + 4x2X = -135 + 195x
27X + -39xX + 20x2 + 4x2X = -135 + 195x

Add '-20x2' to each side of the equation.
27X + -39xX + 20x2 + -20x2 + 4x2X = -135 + 195x + -20x2

Combine like terms: 20x2 + -20x2 = 0
27X + -39xX + 0 + 4x2X = -135 + 195x + -20x2
27X + -39xX + 4x2X = -135 + 195x + -20x2

Reorder the terms:
135 + 27X + -195x + -39xX + 20x2 + 4x2X = -135 + 195x + -20x2 + 135 + -195x + 20x2

Reorder the terms:
135 + 27X + -195x + -39xX + 20x2 + 4x2X = -135 + 135 + 195x + -195x + -20x2 + 20x2

Combine like terms: -135 + 135 = 0
135 + 27X + -195x + -39xX + 20x2 + 4x2X = 0 + 195x + -195x + -20x2 + 20x2
135 + 27X + -195x + -39xX + 20x2 + 4x2X = 195x + -195x + -20x2 + 20x2

Combine like terms: 195x + -195x = 0
135 + 27X + -195x + -39xX + 20x2 + 4x2X = 0 + -20x2 + 20x2
135 + 27X + -195x + -39xX + 20x2 + 4x2X = -20x2 + 20x2

Combine like terms: -20x2 + 20x2 = 0
135 + 27X + -195x + -39xX + 20x2 + 4x2X = 0

The solution to this equation could not be determined.

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