6x-3x*4x=2489

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Solution for 6x-3x*4x=2489 equation:


Simplifying
6x + -3x * 4x = 2489

Reorder the terms for easier multiplication:
6x + -3 * 4x * x = 2489

Multiply -3 * 4
6x + -12x * x = 2489

Multiply x * x
6x + -12x2 = 2489

Solving
6x + -12x2 = 2489

Solving for variable 'x'.

Reorder the terms:
-2489 + 6x + -12x2 = 2489 + -2489

Combine like terms: 2489 + -2489 = 0
-2489 + 6x + -12x2 = 0

Begin completing the square.  Divide all terms by
-12 the coefficient of the squared term: 

Divide each side by '-12'.
207.4166667 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-207.4166667' to each side of the equation.
207.4166667 + -0.5x + -207.4166667 + x2 = 0 + -207.4166667

Reorder the terms:
207.4166667 + -207.4166667 + -0.5x + x2 = 0 + -207.4166667

Combine like terms: 207.4166667 + -207.4166667 = 0.0000000
0.0000000 + -0.5x + x2 = 0 + -207.4166667
-0.5x + x2 = 0 + -207.4166667

Combine like terms: 0 + -207.4166667 = -207.4166667
-0.5x + x2 = -207.4166667

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -207.4166667 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -207.4166667 + 0.0625

Combine like terms: -207.4166667 + 0.0625 = -207.3541667
0.0625 + -0.5x + x2 = -207.3541667

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -207.3541667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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