7x(12x+3)+7=6X(2X-3)-5

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Solution for 7x(12x+3)+7=6X(2X-3)-5 equation: 


Simplifying
7x(12x + 3) + 7 = 6X(2X + -3) + -5

Reorder the terms:
7x(3 + 12x) + 7 = 6X(2X + -3) + -5
(3 * 7x + 12x * 7x) + 7 = 6X(2X + -3) + -5
(21x + 84x2) + 7 = 6X(2X + -3) + -5

Reorder the terms:
7 + 21x + 84x2 = 6X(2X + -3) + -5

Reorder the terms:
7 + 21x + 84x2 = 6X(-3 + 2X) + -5
7 + 21x + 84x2 = (-3 * 6X + 2X * 6X) + -5
7 + 21x + 84x2 = (-18X + 12X2) + -5

Reorder the terms:
7 + 21x + 84x2 = -5 + -18X + 12X2

Solving
7 + 21x + 84x2 = -5 + -18X + 12X2

Solving for variable 'x'.

Reorder the terms:
7 + 5 + 18X + -12X2 + 21x + 84x2 = -5 + -18X + 12X2 + 5 + 18X + -12X2

Combine like terms: 7 + 5 = 12
12 + 18X + -12X2 + 21x + 84x2 = -5 + -18X + 12X2 + 5 + 18X + -12X2

Reorder the terms:
12 + 18X + -12X2 + 21x + 84x2 = -5 + 5 + -18X + 18X + 12X2 + -12X2

Combine like terms: -5 + 5 = 0
12 + 18X + -12X2 + 21x + 84x2 = 0 + -18X + 18X + 12X2 + -12X2
12 + 18X + -12X2 + 21x + 84x2 = -18X + 18X + 12X2 + -12X2

Combine like terms: -18X + 18X = 0
12 + 18X + -12X2 + 21x + 84x2 = 0 + 12X2 + -12X2
12 + 18X + -12X2 + 21x + 84x2 = 12X2 + -12X2

Combine like terms: 12X2 + -12X2 = 0
12 + 18X + -12X2 + 21x + 84x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(4 + 6X + -4X2 + 7x + 28x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(4 + 6X + -4X2 + 7x + 28x2)' equal to zero and attempt to solve:

Simplifying
4 + 6X + -4X2 + 7x + 28x2 = 0

Solving
4 + 6X + -4X2 + 7x + 28x2 = 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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