13x^2-[7x^2+x-8-(m^3+2m-3m^2+9)]=m^3+2m+3m^2

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Solution for 13x^2-[7x^2+x-8-(m^3+2m-3m^2+9)]=m^3+2m+3m^2 equation: 


Simplifying
13x2 + -1[7x2 + x + -8 + -1(m3 + 2m + -3m2 + 9)] = m3 + 2m + 3m2

Reorder the terms:
13x2 + -1[7x2 + x + -8 + -1(9 + 2m + -3m2 + m3)] = m3 + 2m + 3m2
13x2 + -1[7x2 + x + -8 + (9 * -1 + 2m * -1 + -3m2 * -1 + m3 * -1)] = m3 + 2m + 3m2
13x2 + -1[7x2 + x + -8 + (-9 + -2m + 3m2 + -1m3)] = m3 + 2m + 3m2

Reorder the terms:
13x2 + -1[-8 + -9 + -2m + 3m2 + -1m3 + x + 7x2] = m3 + 2m + 3m2

Combine like terms: -8 + -9 = -17
13x2 + -1[-17 + -2m + 3m2 + -1m3 + x + 7x2] = m3 + 2m + 3m2
13x2 + [-17 * -1 + -2m * -1 + 3m2 * -1 + -1m3 * -1 + x * -1 + 7x2 * -1] = m3 + 2m + 3m2
13x2 + [17 + 2m + -3m2 + 1m3 + -1x + -7x2] = m3 + 2m + 3m2

Reorder the terms:
17 + 2m + -3m2 + 1m3 + -1x + 13x2 + -7x2 = m3 + 2m + 3m2

Combine like terms: 13x2 + -7x2 = 6x2
17 + 2m + -3m2 + 1m3 + -1x + 6x2 = m3 + 2m + 3m2

Reorder the terms:
17 + 2m + -3m2 + 1m3 + -1x + 6x2 = 2m + 3m2 + m3

Add '-2m' to each side of the equation.
17 + 2m + -3m2 + 1m3 + -1x + -2m + 6x2 = 2m + 3m2 + -2m + m3

Reorder the terms:
17 + 2m + -2m + -3m2 + 1m3 + -1x + 6x2 = 2m + 3m2 + -2m + m3

Combine like terms: 2m + -2m = 0
17 + 0 + -3m2 + 1m3 + -1x + 6x2 = 2m + 3m2 + -2m + m3
17 + -3m2 + 1m3 + -1x + 6x2 = 2m + 3m2 + -2m + m3

Reorder the terms:
17 + -3m2 + 1m3 + -1x + 6x2 = 2m + -2m + 3m2 + m3

Combine like terms: 2m + -2m = 0
17 + -3m2 + 1m3 + -1x + 6x2 = 0 + 3m2 + m3
17 + -3m2 + 1m3 + -1x + 6x2 = 3m2 + m3

Solving
17 + -3m2 + 1m3 + -1x + 6x2 = 3m2 + m3

Solving for variable 'm'.

Reorder the terms:
17 + -3m2 + -3m2 + 1m3 + -1m3 + -1x + 6x2 = 3m2 + m3 + -3m2 + -1m3

Combine like terms: -3m2 + -3m2 = -6m2
17 + -6m2 + 1m3 + -1m3 + -1x + 6x2 = 3m2 + m3 + -3m2 + -1m3

Combine like terms: 1m3 + -1m3 = 0
17 + -6m2 + 0 + -1x + 6x2 = 3m2 + m3 + -3m2 + -1m3
17 + -6m2 + -1x + 6x2 = 3m2 + m3 + -3m2 + -1m3

Reorder the terms:
17 + -6m2 + -1x + 6x2 = 3m2 + -3m2 + m3 + -1m3

Combine like terms: 3m2 + -3m2 = 0
17 + -6m2 + -1x + 6x2 = 0 + m3 + -1m3
17 + -6m2 + -1x + 6x2 = m3 + -1m3

Combine like terms: m3 + -1m3 = 0
17 + -6m2 + -1x + 6x2 = 0

The solution to this equation could not be determined.

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