(2X^2-3x+4)(3x^2+2x-5)=

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Solution for (2X^2-3x+4)(3x^2+2x-5)= equation:


Simplifying
(2X2 + -3x + 4)(3x2 + 2x + -5) = 0

Reorder the terms:
(4 + 2X2 + -3x)(3x2 + 2x + -5) = 0

Reorder the terms:
(4 + 2X2 + -3x)(-5 + 2x + 3x2) = 0

Multiply (4 + 2X2 + -3x) * (-5 + 2x + 3x2)
(4(-5 + 2x + 3x2) + 2X2 * (-5 + 2x + 3x2) + -3x * (-5 + 2x + 3x2)) = 0
((-5 * 4 + 2x * 4 + 3x2 * 4) + 2X2 * (-5 + 2x + 3x2) + -3x * (-5 + 2x + 3x2)) = 0
((-20 + 8x + 12x2) + 2X2 * (-5 + 2x + 3x2) + -3x * (-5 + 2x + 3x2)) = 0
(-20 + 8x + 12x2 + (-5 * 2X2 + 2x * 2X2 + 3x2 * 2X2) + -3x * (-5 + 2x + 3x2)) = 0
(-20 + 8x + 12x2 + (-10X2 + 4xX2 + 6x2X2) + -3x * (-5 + 2x + 3x2)) = 0
(-20 + 8x + 12x2 + -10X2 + 4xX2 + 6x2X2 + (-5 * -3x + 2x * -3x + 3x2 * -3x)) = 0
(-20 + 8x + 12x2 + -10X2 + 4xX2 + 6x2X2 + (15x + -6x2 + -9x3)) = 0

Reorder the terms:
(-20 + -10X2 + 8x + 15x + 4xX2 + 12x2 + -6x2 + 6x2X2 + -9x3) = 0

Combine like terms: 8x + 15x = 23x
(-20 + -10X2 + 23x + 4xX2 + 12x2 + -6x2 + 6x2X2 + -9x3) = 0

Combine like terms: 12x2 + -6x2 = 6x2
(-20 + -10X2 + 23x + 4xX2 + 6x2 + 6x2X2 + -9x3) = 0

Solving
-20 + -10X2 + 23x + 4xX2 + 6x2 + 6x2X2 + -9x3 = 0

Solving for variable 'X'.

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

Add '20' to each side of the equation.
-20 + -10X2 + 23x + 4xX2 + 6x2 + 6x2X2 + 20 + -9x3 = 0 + 20

Reorder the terms:
-20 + 20 + -10X2 + 23x + 4xX2 + 6x2 + 6x2X2 + -9x3 = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -10X2 + 23x + 4xX2 + 6x2 + 6x2X2 + -9x3 = 0 + 20
-10X2 + 23x + 4xX2 + 6x2 + 6x2X2 + -9x3 = 0 + 20

Combine like terms: 0 + 20 = 20
-10X2 + 23x + 4xX2 + 6x2 + 6x2X2 + -9x3 = 20

Add '-23x' to each side of the equation.
-10X2 + 23x + 4xX2 + 6x2 + 6x2X2 + -23x + -9x3 = 20 + -23x

Reorder the terms:
-10X2 + 23x + -23x + 4xX2 + 6x2 + 6x2X2 + -9x3 = 20 + -23x

Combine like terms: 23x + -23x = 0
-10X2 + 0 + 4xX2 + 6x2 + 6x2X2 + -9x3 = 20 + -23x
-10X2 + 4xX2 + 6x2 + 6x2X2 + -9x3 = 20 + -23x

Add '-6x2' to each side of the equation.
-10X2 + 4xX2 + 6x2 + 6x2X2 + -6x2 + -9x3 = 20 + -23x + -6x2

Reorder the terms:
-10X2 + 4xX2 + 6x2 + -6x2 + 6x2X2 + -9x3 = 20 + -23x + -6x2

Combine like terms: 6x2 + -6x2 = 0
-10X2 + 4xX2 + 0 + 6x2X2 + -9x3 = 20 + -23x + -6x2
-10X2 + 4xX2 + 6x2X2 + -9x3 = 20 + -23x + -6x2

Add '9x3' to each side of the equation.
-10X2 + 4xX2 + 6x2X2 + -9x3 + 9x3 = 20 + -23x + -6x2 + 9x3

Combine like terms: -9x3 + 9x3 = 0
-10X2 + 4xX2 + 6x2X2 + 0 = 20 + -23x + -6x2 + 9x3
-10X2 + 4xX2 + 6x2X2 = 20 + -23x + -6x2 + 9x3

Reorder the terms:
-20 + -10X2 + 23x + 4xX2 + 6x2 + 6x2X2 + -9x3 = 20 + -23x + -6x2 + 9x3 + -20 + 23x + 6x2 + -9x3

Reorder the terms:
-20 + -10X2 + 23x + 4xX2 + 6x2 + 6x2X2 + -9x3 = 20 + -20 + -23x + 23x + -6x2 + 6x2 + 9x3 + -9x3

Combine like terms: 20 + -20 = 0
-20 + -10X2 + 23x + 4xX2 + 6x2 + 6x2X2 + -9x3 = 0 + -23x + 23x + -6x2 + 6x2 + 9x3 + -9x3
-20 + -10X2 + 23x + 4xX2 + 6x2 + 6x2X2 + -9x3 = -23x + 23x + -6x2 + 6x2 + 9x3 + -9x3

Combine like terms: -23x + 23x = 0
-20 + -10X2 + 23x + 4xX2 + 6x2 + 6x2X2 + -9x3 = 0 + -6x2 + 6x2 + 9x3 + -9x3
-20 + -10X2 + 23x + 4xX2 + 6x2 + 6x2X2 + -9x3 = -6x2 + 6x2 + 9x3 + -9x3

Combine like terms: -6x2 + 6x2 = 0
-20 + -10X2 + 23x + 4xX2 + 6x2 + 6x2X2 + -9x3 = 0 + 9x3 + -9x3
-20 + -10X2 + 23x + 4xX2 + 6x2 + 6x2X2 + -9x3 = 9x3 + -9x3

Combine like terms: 9x3 + -9x3 = 0
-20 + -10X2 + 23x + 4xX2 + 6x2 + 6x2X2 + -9x3 = 0

The solution to this equation could not be determined.

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