(6N-7)X(7N^2-7N+8)=0

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Solution for (6N-7)X(7N^2-7N+8)=0 equation:


Simplifying
(6N + -7) * X(7N2 + -7N + 8) = 0

Reorder the terms:
(-7 + 6N) * X(7N2 + -7N + 8) = 0

Reorder the terms:
(-7 + 6N) * X(8 + -7N + 7N2) = 0

Reorder the terms for easier multiplication:
X(-7 + 6N)(8 + -7N + 7N2) = 0

Multiply (-7 + 6N) * (8 + -7N + 7N2)
X(-7(8 + -7N + 7N2) + 6N * (8 + -7N + 7N2)) = 0
X((8 * -7 + -7N * -7 + 7N2 * -7) + 6N * (8 + -7N + 7N2)) = 0
X((-56 + 49N + -49N2) + 6N * (8 + -7N + 7N2)) = 0
X(-56 + 49N + -49N2 + (8 * 6N + -7N * 6N + 7N2 * 6N)) = 0
X(-56 + 49N + -49N2 + (48N + -42N2 + 42N3)) = 0

Reorder the terms:
X(-56 + 49N + 48N + -49N2 + -42N2 + 42N3) = 0

Combine like terms: 49N + 48N = 97N
X(-56 + 97N + -49N2 + -42N2 + 42N3) = 0

Combine like terms: -49N2 + -42N2 = -91N2
X(-56 + 97N + -91N2 + 42N3) = 0
(-56 * X + 97N * X + -91N2 * X + 42N3 * X) = 0

Reorder the terms:
(97NX + -91N2X + 42N3X + -56X) = 0
(97NX + -91N2X + 42N3X + -56X) = 0

Solving
97NX + -91N2X + 42N3X + -56X = 0

Solving for variable 'N'.

Factor out the Greatest Common Factor (GCF), 'X'.
X(97N + -91N2 + 42N3 + -56) = 0

Subproblem 1

Set the factor 'X' equal to zero and attempt to solve: Simplifying X = 0 Solving X = 0 Move all terms containing N to the left, all other terms to the right. Add '-1X' to each side of the equation. X + -1X = 0 + -1X Remove the zero: 0 = -1X Simplifying 0 = -1X The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(97N + -91N2 + 42N3 + -56)' equal to zero and attempt to solve: Simplifying 97N + -91N2 + 42N3 + -56 = 0 Reorder the terms: -56 + 97N + -91N2 + 42N3 = 0 Solving -56 + 97N + -91N2 + 42N3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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