0=(6x+7)(x^2-3x+1)

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Solution for 0=(6x+7)(x^2-3x+1) equation: 


Simplifying
0 = (6x + 7)(x2 + -3x + 1)

Reorder the terms:
0 = (7 + 6x)(x2 + -3x + 1)

Reorder the terms:
0 = (7 + 6x)(1 + -3x + x2)

Multiply (7 + 6x) * (1 + -3x + x2)
0 = (7(1 + -3x + x2) + 6x * (1 + -3x + x2))
0 = ((1 * 7 + -3x * 7 + x2 * 7) + 6x * (1 + -3x + x2))
0 = ((7 + -21x + 7x2) + 6x * (1 + -3x + x2))
0 = (7 + -21x + 7x2 + (1 * 6x + -3x * 6x + x2 * 6x))
0 = (7 + -21x + 7x2 + (6x + -18x2 + 6x3))

Reorder the terms:
0 = (7 + -21x + 6x + 7x2 + -18x2 + 6x3)

Combine like terms: -21x + 6x = -15x
0 = (7 + -15x + 7x2 + -18x2 + 6x3)

Combine like terms: 7x2 + -18x2 = -11x2
0 = (7 + -15x + -11x2 + 6x3)

Solving
0 = 7 + -15x + -11x2 + 6x3

Solving for variable 'x'.

Combine like terms: 0 + -7 = -7
-7 + 15x + 11x2 + -6x3 = 7 + -15x + -11x2 + 6x3 + -7 + 15x + 11x2 + -6x3

Reorder the terms:
-7 + 15x + 11x2 + -6x3 = 7 + -7 + -15x + 15x + -11x2 + 11x2 + 6x3 + -6x3

Combine like terms: 7 + -7 = 0
-7 + 15x + 11x2 + -6x3 = 0 + -15x + 15x + -11x2 + 11x2 + 6x3 + -6x3
-7 + 15x + 11x2 + -6x3 = -15x + 15x + -11x2 + 11x2 + 6x3 + -6x3

Combine like terms: -15x + 15x = 0
-7 + 15x + 11x2 + -6x3 = 0 + -11x2 + 11x2 + 6x3 + -6x3
-7 + 15x + 11x2 + -6x3 = -11x2 + 11x2 + 6x3 + -6x3

Combine like terms: -11x2 + 11x2 = 0
-7 + 15x + 11x2 + -6x3 = 0 + 6x3 + -6x3
-7 + 15x + 11x2 + -6x3 = 6x3 + -6x3

Combine like terms: 6x3 + -6x3 = 0
-7 + 15x + 11x2 + -6x3 = 0

The solution to this equation could not be determined.

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