=(x-4)(x^2-6x+10)

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Solution for =(x-4)(x^2-6x+10) equation: 


Simplifying
0 = (x + -4)(x2 + -6x + 10)

Reorder the terms:
0 = (-4 + x)(x2 + -6x + 10)

Reorder the terms:
0 = (-4 + x)(10 + -6x + x2)

Multiply (-4 + x) * (10 + -6x + x2)
0 = (-4(10 + -6x + x2) + x(10 + -6x + x2))
0 = ((10 * -4 + -6x * -4 + x2 * -4) + x(10 + -6x + x2))
0 = ((-40 + 24x + -4x2) + x(10 + -6x + x2))
0 = (-40 + 24x + -4x2 + (10 * x + -6x * x + x2 * x))
0 = (-40 + 24x + -4x2 + (10x + -6x2 + x3))

Reorder the terms:
0 = (-40 + 24x + 10x + -4x2 + -6x2 + x3)

Combine like terms: 24x + 10x = 34x
0 = (-40 + 34x + -4x2 + -6x2 + x3)

Combine like terms: -4x2 + -6x2 = -10x2
0 = (-40 + 34x + -10x2 + x3)

Solving
0 = -40 + 34x + -10x2 + x3

Solving for variable 'x'.

Combine like terms: 0 + 40 = 40
40 + -34x + 10x2 + -1x3 = -40 + 34x + -10x2 + x3 + 40 + -34x + 10x2 + -1x3

Reorder the terms:
40 + -34x + 10x2 + -1x3 = -40 + 40 + 34x + -34x + -10x2 + 10x2 + x3 + -1x3

Combine like terms: -40 + 40 = 0
40 + -34x + 10x2 + -1x3 = 0 + 34x + -34x + -10x2 + 10x2 + x3 + -1x3
40 + -34x + 10x2 + -1x3 = 34x + -34x + -10x2 + 10x2 + x3 + -1x3

Combine like terms: 34x + -34x = 0
40 + -34x + 10x2 + -1x3 = 0 + -10x2 + 10x2 + x3 + -1x3
40 + -34x + 10x2 + -1x3 = -10x2 + 10x2 + x3 + -1x3

Combine like terms: -10x2 + 10x2 = 0
40 + -34x + 10x2 + -1x3 = 0 + x3 + -1x3
40 + -34x + 10x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
40 + -34x + 10x2 + -1x3 = 0

The solution to this equation could not be determined.

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