(2x^2+2X-15)(3x-1)=0

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Solution for (2x^2+2X-15)(3x-1)=0 equation: 


Simplifying
(2x2 + 2X + -15)(3x + -1) = 0

Reorder the terms:
(-15 + 2X + 2x2)(3x + -1) = 0

Reorder the terms:
(-15 + 2X + 2x2)(-1 + 3x) = 0

Multiply (-15 + 2X + 2x2) * (-1 + 3x)
(-15(-1 + 3x) + 2X * (-1 + 3x) + 2x2 * (-1 + 3x)) = 0
((-1 * -15 + 3x * -15) + 2X * (-1 + 3x) + 2x2 * (-1 + 3x)) = 0
((15 + -45x) + 2X * (-1 + 3x) + 2x2 * (-1 + 3x)) = 0
(15 + -45x + (-1 * 2X + 3x * 2X) + 2x2 * (-1 + 3x)) = 0
(15 + -45x + (-2X + 6xX) + 2x2 * (-1 + 3x)) = 0
(15 + -45x + -2X + 6xX + (-1 * 2x2 + 3x * 2x2)) = 0
(15 + -45x + -2X + 6xX + (-2x2 + 6x3)) = 0

Reorder the terms:
(15 + -2X + -45x + 6xX + -2x2 + 6x3) = 0
(15 + -2X + -45x + 6xX + -2x2 + 6x3) = 0

Solving
15 + -2X + -45x + 6xX + -2x2 + 6x3 = 0

Solving for variable 'X'.

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

Add '-15' to each side of the equation.
15 + -2X + -45x + 6xX + -2x2 + -15 + 6x3 = 0 + -15

Reorder the terms:
15 + -15 + -2X + -45x + 6xX + -2x2 + 6x3 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -2X + -45x + 6xX + -2x2 + 6x3 = 0 + -15
-2X + -45x + 6xX + -2x2 + 6x3 = 0 + -15

Combine like terms: 0 + -15 = -15
-2X + -45x + 6xX + -2x2 + 6x3 = -15

Add '45x' to each side of the equation.
-2X + -45x + 6xX + -2x2 + 45x + 6x3 = -15 + 45x

Reorder the terms:
-2X + -45x + 45x + 6xX + -2x2 + 6x3 = -15 + 45x

Combine like terms: -45x + 45x = 0
-2X + 0 + 6xX + -2x2 + 6x3 = -15 + 45x
-2X + 6xX + -2x2 + 6x3 = -15 + 45x

Add '2x2' to each side of the equation.
-2X + 6xX + -2x2 + 2x2 + 6x3 = -15 + 45x + 2x2

Combine like terms: -2x2 + 2x2 = 0
-2X + 6xX + 0 + 6x3 = -15 + 45x + 2x2
-2X + 6xX + 6x3 = -15 + 45x + 2x2

Add '-6x3' to each side of the equation.
-2X + 6xX + 6x3 + -6x3 = -15 + 45x + 2x2 + -6x3

Combine like terms: 6x3 + -6x3 = 0
-2X + 6xX + 0 = -15 + 45x + 2x2 + -6x3
-2X + 6xX = -15 + 45x + 2x2 + -6x3

Reorder the terms:
15 + -2X + -45x + 6xX + -2x2 + 6x3 = -15 + 45x + 2x2 + -6x3 + 15 + -45x + -2x2 + 6x3

Reorder the terms:
15 + -2X + -45x + 6xX + -2x2 + 6x3 = -15 + 15 + 45x + -45x + 2x2 + -2x2 + -6x3 + 6x3

Combine like terms: -15 + 15 = 0
15 + -2X + -45x + 6xX + -2x2 + 6x3 = 0 + 45x + -45x + 2x2 + -2x2 + -6x3 + 6x3
15 + -2X + -45x + 6xX + -2x2 + 6x3 = 45x + -45x + 2x2 + -2x2 + -6x3 + 6x3

Combine like terms: 45x + -45x = 0
15 + -2X + -45x + 6xX + -2x2 + 6x3 = 0 + 2x2 + -2x2 + -6x3 + 6x3
15 + -2X + -45x + 6xX + -2x2 + 6x3 = 2x2 + -2x2 + -6x3 + 6x3

Combine like terms: 2x2 + -2x2 = 0
15 + -2X + -45x + 6xX + -2x2 + 6x3 = 0 + -6x3 + 6x3
15 + -2X + -45x + 6xX + -2x2 + 6x3 = -6x3 + 6x3

Combine like terms: -6x3 + 6x3 = 0
15 + -2X + -45x + 6xX + -2x2 + 6x3 = 0

The solution to this equation could not be determined.

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