=(x+3)(x^2-12x+52)

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Solution for =(x+3)(x^2-12x+52) equation: 


Simplifying
0 = (x + 3)(x2 + -12x + 52)

Reorder the terms:
0 = (3 + x)(x2 + -12x + 52)

Reorder the terms:
0 = (3 + x)(52 + -12x + x2)

Multiply (3 + x) * (52 + -12x + x2)
0 = (3(52 + -12x + x2) + x(52 + -12x + x2))
0 = ((52 * 3 + -12x * 3 + x2 * 3) + x(52 + -12x + x2))
0 = ((156 + -36x + 3x2) + x(52 + -12x + x2))
0 = (156 + -36x + 3x2 + (52 * x + -12x * x + x2 * x))
0 = (156 + -36x + 3x2 + (52x + -12x2 + x3))

Reorder the terms:
0 = (156 + -36x + 52x + 3x2 + -12x2 + x3)

Combine like terms: -36x + 52x = 16x
0 = (156 + 16x + 3x2 + -12x2 + x3)

Combine like terms: 3x2 + -12x2 = -9x2
0 = (156 + 16x + -9x2 + x3)

Solving
0 = 156 + 16x + -9x2 + x3

Solving for variable 'x'.

Combine like terms: 0 + -156 = -156
-156 + -16x + 9x2 + -1x3 = 156 + 16x + -9x2 + x3 + -156 + -16x + 9x2 + -1x3

Reorder the terms:
-156 + -16x + 9x2 + -1x3 = 156 + -156 + 16x + -16x + -9x2 + 9x2 + x3 + -1x3

Combine like terms: 156 + -156 = 0
-156 + -16x + 9x2 + -1x3 = 0 + 16x + -16x + -9x2 + 9x2 + x3 + -1x3
-156 + -16x + 9x2 + -1x3 = 16x + -16x + -9x2 + 9x2 + x3 + -1x3

Combine like terms: 16x + -16x = 0
-156 + -16x + 9x2 + -1x3 = 0 + -9x2 + 9x2 + x3 + -1x3
-156 + -16x + 9x2 + -1x3 = -9x2 + 9x2 + x3 + -1x3

Combine like terms: -9x2 + 9x2 = 0
-156 + -16x + 9x2 + -1x3 = 0 + x3 + -1x3
-156 + -16x + 9x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-156 + -16x + 9x2 + -1x3 = 0

The solution to this equation could not be determined.

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