x*x-2x[1+3m]+7[2+3m]=0

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Solution for x*x-2x[1+3m]+7[2+3m]=0 equation:


Simplifying
x * x + -2x[1 + 3m] + 7[2 + 3m] = 0

Multiply x * x
x2 + -2x[1 + 3m] + 7[2 + 3m] = 0
x2 + [1 * -2x + 3m * -2x] + 7[2 + 3m] = 0

Reorder the terms:
x2 + [-6mx + -2x] + 7[2 + 3m] = 0
x2 + [-6mx + -2x] + 7[2 + 3m] = 0
x2 + -6mx + -2x + [2 * 7 + 3m * 7] = 0
x2 + -6mx + -2x + [14 + 21m] = 0

Reorder the terms:
14 + 21m + -6mx + -2x + x2 = 0

Solving
14 + 21m + -6mx + -2x + x2 = 0

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-14' to each side of the equation.
14 + 21m + -6mx + -2x + -14 + x2 = 0 + -14

Reorder the terms:
14 + -14 + 21m + -6mx + -2x + x2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 21m + -6mx + -2x + x2 = 0 + -14
21m + -6mx + -2x + x2 = 0 + -14

Combine like terms: 0 + -14 = -14
21m + -6mx + -2x + x2 = -14

Add '2x' to each side of the equation.
21m + -6mx + -2x + 2x + x2 = -14 + 2x

Combine like terms: -2x + 2x = 0
21m + -6mx + 0 + x2 = -14 + 2x
21m + -6mx + x2 = -14 + 2x

Add '-1x2' to each side of the equation.
21m + -6mx + x2 + -1x2 = -14 + 2x + -1x2

Combine like terms: x2 + -1x2 = 0
21m + -6mx + 0 = -14 + 2x + -1x2
21m + -6mx = -14 + 2x + -1x2

Reorder the terms:
14 + 21m + -6mx + -2x + x2 = -14 + 2x + -1x2 + 14 + -2x + x2

Reorder the terms:
14 + 21m + -6mx + -2x + x2 = -14 + 14 + 2x + -2x + -1x2 + x2

Combine like terms: -14 + 14 = 0
14 + 21m + -6mx + -2x + x2 = 0 + 2x + -2x + -1x2 + x2
14 + 21m + -6mx + -2x + x2 = 2x + -2x + -1x2 + x2

Combine like terms: 2x + -2x = 0
14 + 21m + -6mx + -2x + x2 = 0 + -1x2 + x2
14 + 21m + -6mx + -2x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
14 + 21m + -6mx + -2x + x2 = 0

The solution to this equation could not be determined.

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