=(x^2-12x+40)(x^2+6x+10)

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Solution for =(x^2-12x+40)(x^2+6x+10) equation: 


Simplifying
0 = (x2 + -12x + 40)(x2 + 6x + 10)

Reorder the terms:
0 = (40 + -12x + x2)(x2 + 6x + 10)

Reorder the terms:
0 = (40 + -12x + x2)(10 + 6x + x2)

Multiply (40 + -12x + x2) * (10 + 6x + x2)
0 = (40(10 + 6x + x2) + -12x * (10 + 6x + x2) + x2(10 + 6x + x2))
0 = ((10 * 40 + 6x * 40 + x2 * 40) + -12x * (10 + 6x + x2) + x2(10 + 6x + x2))
0 = ((400 + 240x + 40x2) + -12x * (10 + 6x + x2) + x2(10 + 6x + x2))
0 = (400 + 240x + 40x2 + (10 * -12x + 6x * -12x + x2 * -12x) + x2(10 + 6x + x2))
0 = (400 + 240x + 40x2 + (-120x + -72x2 + -12x3) + x2(10 + 6x + x2))
0 = (400 + 240x + 40x2 + -120x + -72x2 + -12x3 + (10 * x2 + 6x * x2 + x2 * x2))
0 = (400 + 240x + 40x2 + -120x + -72x2 + -12x3 + (10x2 + 6x3 + x4))

Reorder the terms:
0 = (400 + 240x + -120x + 40x2 + -72x2 + 10x2 + -12x3 + 6x3 + x4)

Combine like terms: 240x + -120x = 120x
0 = (400 + 120x + 40x2 + -72x2 + 10x2 + -12x3 + 6x3 + x4)

Combine like terms: 40x2 + -72x2 = -32x2
0 = (400 + 120x + -32x2 + 10x2 + -12x3 + 6x3 + x4)

Combine like terms: -32x2 + 10x2 = -22x2
0 = (400 + 120x + -22x2 + -12x3 + 6x3 + x4)

Combine like terms: -12x3 + 6x3 = -6x3
0 = (400 + 120x + -22x2 + -6x3 + x4)

Solving
0 = 400 + 120x + -22x2 + -6x3 + x4

Solving for variable 'x'.

Combine like terms: 0 + -400 = -400
-400 + -120x + 22x2 + 6x3 + -1x4 = 400 + 120x + -22x2 + -6x3 + x4 + -400 + -120x + 22x2 + 6x3 + -1x4

Reorder the terms:
-400 + -120x + 22x2 + 6x3 + -1x4 = 400 + -400 + 120x + -120x + -22x2 + 22x2 + -6x3 + 6x3 + x4 + -1x4

Combine like terms: 400 + -400 = 0
-400 + -120x + 22x2 + 6x3 + -1x4 = 0 + 120x + -120x + -22x2 + 22x2 + -6x3 + 6x3 + x4 + -1x4
-400 + -120x + 22x2 + 6x3 + -1x4 = 120x + -120x + -22x2 + 22x2 + -6x3 + 6x3 + x4 + -1x4

Combine like terms: 120x + -120x = 0
-400 + -120x + 22x2 + 6x3 + -1x4 = 0 + -22x2 + 22x2 + -6x3 + 6x3 + x4 + -1x4
-400 + -120x + 22x2 + 6x3 + -1x4 = -22x2 + 22x2 + -6x3 + 6x3 + x4 + -1x4

Combine like terms: -22x2 + 22x2 = 0
-400 + -120x + 22x2 + 6x3 + -1x4 = 0 + -6x3 + 6x3 + x4 + -1x4
-400 + -120x + 22x2 + 6x3 + -1x4 = -6x3 + 6x3 + x4 + -1x4

Combine like terms: -6x3 + 6x3 = 0
-400 + -120x + 22x2 + 6x3 + -1x4 = 0 + x4 + -1x4
-400 + -120x + 22x2 + 6x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-400 + -120x + 22x2 + 6x3 + -1x4 = 0

The solution to this equation could not be determined.

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