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

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


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

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

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

Multiply (4 + X2 + -3x) * (4 + -3x + x2)
(4(4 + -3x + x2) + X2(4 + -3x + x2) + -3x * (4 + -3x + x2)) = 0
((4 * 4 + -3x * 4 + x2 * 4) + X2(4 + -3x + x2) + -3x * (4 + -3x + x2)) = 0
((16 + -12x + 4x2) + X2(4 + -3x + x2) + -3x * (4 + -3x + x2)) = 0
(16 + -12x + 4x2 + (4 * X2 + -3x * X2 + x2 * X2) + -3x * (4 + -3x + x2)) = 0
(16 + -12x + 4x2 + (4X2 + -3xX2 + x2X2) + -3x * (4 + -3x + x2)) = 0
(16 + -12x + 4x2 + 4X2 + -3xX2 + x2X2 + (4 * -3x + -3x * -3x + x2 * -3x)) = 0
(16 + -12x + 4x2 + 4X2 + -3xX2 + x2X2 + (-12x + 9x2 + -3x3)) = 0

Reorder the terms:
(16 + 4X2 + -12x + -12x + -3xX2 + 4x2 + 9x2 + x2X2 + -3x3) = 0

Combine like terms: -12x + -12x = -24x
(16 + 4X2 + -24x + -3xX2 + 4x2 + 9x2 + x2X2 + -3x3) = 0

Combine like terms: 4x2 + 9x2 = 13x2
(16 + 4X2 + -24x + -3xX2 + 13x2 + x2X2 + -3x3) = 0

Solving
16 + 4X2 + -24x + -3xX2 + 13x2 + x2X2 + -3x3 = 0

Solving for variable 'X'.

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

Add '-16' to each side of the equation.
16 + 4X2 + -24x + -3xX2 + 13x2 + x2X2 + -16 + -3x3 = 0 + -16

Reorder the terms:
16 + -16 + 4X2 + -24x + -3xX2 + 13x2 + x2X2 + -3x3 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 4X2 + -24x + -3xX2 + 13x2 + x2X2 + -3x3 = 0 + -16
4X2 + -24x + -3xX2 + 13x2 + x2X2 + -3x3 = 0 + -16

Combine like terms: 0 + -16 = -16
4X2 + -24x + -3xX2 + 13x2 + x2X2 + -3x3 = -16

Add '24x' to each side of the equation.
4X2 + -24x + -3xX2 + 13x2 + x2X2 + 24x + -3x3 = -16 + 24x

Reorder the terms:
4X2 + -24x + 24x + -3xX2 + 13x2 + x2X2 + -3x3 = -16 + 24x

Combine like terms: -24x + 24x = 0
4X2 + 0 + -3xX2 + 13x2 + x2X2 + -3x3 = -16 + 24x
4X2 + -3xX2 + 13x2 + x2X2 + -3x3 = -16 + 24x

Add '-13x2' to each side of the equation.
4X2 + -3xX2 + 13x2 + x2X2 + -13x2 + -3x3 = -16 + 24x + -13x2

Reorder the terms:
4X2 + -3xX2 + 13x2 + -13x2 + x2X2 + -3x3 = -16 + 24x + -13x2

Combine like terms: 13x2 + -13x2 = 0
4X2 + -3xX2 + 0 + x2X2 + -3x3 = -16 + 24x + -13x2
4X2 + -3xX2 + x2X2 + -3x3 = -16 + 24x + -13x2

Add '3x3' to each side of the equation.
4X2 + -3xX2 + x2X2 + -3x3 + 3x3 = -16 + 24x + -13x2 + 3x3

Combine like terms: -3x3 + 3x3 = 0
4X2 + -3xX2 + x2X2 + 0 = -16 + 24x + -13x2 + 3x3
4X2 + -3xX2 + x2X2 = -16 + 24x + -13x2 + 3x3

Reorder the terms:
16 + 4X2 + -24x + -3xX2 + 13x2 + x2X2 + -3x3 = -16 + 24x + -13x2 + 3x3 + 16 + -24x + 13x2 + -3x3

Reorder the terms:
16 + 4X2 + -24x + -3xX2 + 13x2 + x2X2 + -3x3 = -16 + 16 + 24x + -24x + -13x2 + 13x2 + 3x3 + -3x3

Combine like terms: -16 + 16 = 0
16 + 4X2 + -24x + -3xX2 + 13x2 + x2X2 + -3x3 = 0 + 24x + -24x + -13x2 + 13x2 + 3x3 + -3x3
16 + 4X2 + -24x + -3xX2 + 13x2 + x2X2 + -3x3 = 24x + -24x + -13x2 + 13x2 + 3x3 + -3x3

Combine like terms: 24x + -24x = 0
16 + 4X2 + -24x + -3xX2 + 13x2 + x2X2 + -3x3 = 0 + -13x2 + 13x2 + 3x3 + -3x3
16 + 4X2 + -24x + -3xX2 + 13x2 + x2X2 + -3x3 = -13x2 + 13x2 + 3x3 + -3x3

Combine like terms: -13x2 + 13x2 = 0
16 + 4X2 + -24x + -3xX2 + 13x2 + x2X2 + -3x3 = 0 + 3x3 + -3x3
16 + 4X2 + -24x + -3xX2 + 13x2 + x2X2 + -3x3 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
16 + 4X2 + -24x + -3xX2 + 13x2 + x2X2 + -3x3 = 0

The solution to this equation could not be determined.

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