=(x^2-4x+5)(x^2-12x+28)

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Solution for =(x^2-4x+5)(x^2-12x+28) equation: 


Simplifying
0 = (x2 + -4x + 5)(x2 + -12x + 28)

Reorder the terms:
0 = (5 + -4x + x2)(x2 + -12x + 28)

Reorder the terms:
0 = (5 + -4x + x2)(28 + -12x + x2)

Multiply (5 + -4x + x2) * (28 + -12x + x2)
0 = (5(28 + -12x + x2) + -4x * (28 + -12x + x2) + x2(28 + -12x + x2))
0 = ((28 * 5 + -12x * 5 + x2 * 5) + -4x * (28 + -12x + x2) + x2(28 + -12x + x2))
0 = ((140 + -60x + 5x2) + -4x * (28 + -12x + x2) + x2(28 + -12x + x2))
0 = (140 + -60x + 5x2 + (28 * -4x + -12x * -4x + x2 * -4x) + x2(28 + -12x + x2))
0 = (140 + -60x + 5x2 + (-112x + 48x2 + -4x3) + x2(28 + -12x + x2))
0 = (140 + -60x + 5x2 + -112x + 48x2 + -4x3 + (28 * x2 + -12x * x2 + x2 * x2))
0 = (140 + -60x + 5x2 + -112x + 48x2 + -4x3 + (28x2 + -12x3 + x4))

Reorder the terms:
0 = (140 + -60x + -112x + 5x2 + 48x2 + 28x2 + -4x3 + -12x3 + x4)

Combine like terms: -60x + -112x = -172x
0 = (140 + -172x + 5x2 + 48x2 + 28x2 + -4x3 + -12x3 + x4)

Combine like terms: 5x2 + 48x2 = 53x2
0 = (140 + -172x + 53x2 + 28x2 + -4x3 + -12x3 + x4)

Combine like terms: 53x2 + 28x2 = 81x2
0 = (140 + -172x + 81x2 + -4x3 + -12x3 + x4)

Combine like terms: -4x3 + -12x3 = -16x3
0 = (140 + -172x + 81x2 + -16x3 + x4)

Solving
0 = 140 + -172x + 81x2 + -16x3 + x4

Solving for variable 'x'.

Combine like terms: 0 + -140 = -140
-140 + 172x + -81x2 + 16x3 + -1x4 = 140 + -172x + 81x2 + -16x3 + x4 + -140 + 172x + -81x2 + 16x3 + -1x4

Reorder the terms:
-140 + 172x + -81x2 + 16x3 + -1x4 = 140 + -140 + -172x + 172x + 81x2 + -81x2 + -16x3 + 16x3 + x4 + -1x4

Combine like terms: 140 + -140 = 0
-140 + 172x + -81x2 + 16x3 + -1x4 = 0 + -172x + 172x + 81x2 + -81x2 + -16x3 + 16x3 + x4 + -1x4
-140 + 172x + -81x2 + 16x3 + -1x4 = -172x + 172x + 81x2 + -81x2 + -16x3 + 16x3 + x4 + -1x4

Combine like terms: -172x + 172x = 0
-140 + 172x + -81x2 + 16x3 + -1x4 = 0 + 81x2 + -81x2 + -16x3 + 16x3 + x4 + -1x4
-140 + 172x + -81x2 + 16x3 + -1x4 = 81x2 + -81x2 + -16x3 + 16x3 + x4 + -1x4

Combine like terms: 81x2 + -81x2 = 0
-140 + 172x + -81x2 + 16x3 + -1x4 = 0 + -16x3 + 16x3 + x4 + -1x4
-140 + 172x + -81x2 + 16x3 + -1x4 = -16x3 + 16x3 + x4 + -1x4

Combine like terms: -16x3 + 16x3 = 0
-140 + 172x + -81x2 + 16x3 + -1x4 = 0 + x4 + -1x4
-140 + 172x + -81x2 + 16x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-140 + 172x + -81x2 + 16x3 + -1x4 = 0

The solution to this equation could not be determined.

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