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

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


Simplifying
(X3 + -2x2 + 5)(4x2 + -3) = 0

Reorder the terms:
(5 + X3 + -2x2)(4x2 + -3) = 0

Reorder the terms:
(5 + X3 + -2x2)(-3 + 4x2) = 0

Multiply (5 + X3 + -2x2) * (-3 + 4x2)
(5(-3 + 4x2) + X3(-3 + 4x2) + -2x2 * (-3 + 4x2)) = 0
((-3 * 5 + 4x2 * 5) + X3(-3 + 4x2) + -2x2 * (-3 + 4x2)) = 0
((-15 + 20x2) + X3(-3 + 4x2) + -2x2 * (-3 + 4x2)) = 0
(-15 + 20x2 + (-3 * X3 + 4x2 * X3) + -2x2 * (-3 + 4x2)) = 0
(-15 + 20x2 + (-3X3 + 4x2X3) + -2x2 * (-3 + 4x2)) = 0
(-15 + 20x2 + -3X3 + 4x2X3 + (-3 * -2x2 + 4x2 * -2x2)) = 0
(-15 + 20x2 + -3X3 + 4x2X3 + (6x2 + -8x4)) = 0

Reorder the terms:
(-15 + -3X3 + 20x2 + 6x2 + 4x2X3 + -8x4) = 0

Combine like terms: 20x2 + 6x2 = 26x2
(-15 + -3X3 + 26x2 + 4x2X3 + -8x4) = 0

Solving
-15 + -3X3 + 26x2 + 4x2X3 + -8x4 = 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 + -3X3 + 26x2 + 4x2X3 + 15 + -8x4 = 0 + 15

Reorder the terms:
-15 + 15 + -3X3 + 26x2 + 4x2X3 + -8x4 = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -3X3 + 26x2 + 4x2X3 + -8x4 = 0 + 15
-3X3 + 26x2 + 4x2X3 + -8x4 = 0 + 15

Combine like terms: 0 + 15 = 15
-3X3 + 26x2 + 4x2X3 + -8x4 = 15

Add '-26x2' to each side of the equation.
-3X3 + 26x2 + 4x2X3 + -26x2 + -8x4 = 15 + -26x2

Reorder the terms:
-3X3 + 26x2 + -26x2 + 4x2X3 + -8x4 = 15 + -26x2

Combine like terms: 26x2 + -26x2 = 0
-3X3 + 0 + 4x2X3 + -8x4 = 15 + -26x2
-3X3 + 4x2X3 + -8x4 = 15 + -26x2

Add '8x4' to each side of the equation.
-3X3 + 4x2X3 + -8x4 + 8x4 = 15 + -26x2 + 8x4

Combine like terms: -8x4 + 8x4 = 0
-3X3 + 4x2X3 + 0 = 15 + -26x2 + 8x4
-3X3 + 4x2X3 = 15 + -26x2 + 8x4

Reorder the terms:
-15 + -3X3 + 26x2 + 4x2X3 + -8x4 = 15 + -26x2 + 8x4 + -15 + 26x2 + -8x4

Reorder the terms:
-15 + -3X3 + 26x2 + 4x2X3 + -8x4 = 15 + -15 + -26x2 + 26x2 + 8x4 + -8x4

Combine like terms: 15 + -15 = 0
-15 + -3X3 + 26x2 + 4x2X3 + -8x4 = 0 + -26x2 + 26x2 + 8x4 + -8x4
-15 + -3X3 + 26x2 + 4x2X3 + -8x4 = -26x2 + 26x2 + 8x4 + -8x4

Combine like terms: -26x2 + 26x2 = 0
-15 + -3X3 + 26x2 + 4x2X3 + -8x4 = 0 + 8x4 + -8x4
-15 + -3X3 + 26x2 + 4x2X3 + -8x4 = 8x4 + -8x4

Combine like terms: 8x4 + -8x4 = 0
-15 + -3X3 + 26x2 + 4x2X3 + -8x4 = 0

The solution to this equation could not be determined.

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