2x(6x-8)=-25

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Solution for 2x(6x-8)=-25 equation:


Simplifying
2x(6x + -8) = -25

Reorder the terms:
2x(-8 + 6x) = -25
(-8 * 2x + 6x * 2x) = -25
(-16x + 12x2) = -25

Solving
-16x + 12x2 = -25

Solving for variable 'x'.

Reorder the terms:
25 + -16x + 12x2 = -25 + 25

Combine like terms: -25 + 25 = 0
25 + -16x + 12x2 = 0

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

Divide each side by '12'.
2.083333333 + -1.333333333x + x2 = 0

Move the constant term to the right:

Add '-2.083333333' to each side of the equation.
2.083333333 + -1.333333333x + -2.083333333 + x2 = 0 + -2.083333333

Reorder the terms:
2.083333333 + -2.083333333 + -1.333333333x + x2 = 0 + -2.083333333

Combine like terms: 2.083333333 + -2.083333333 = 0.000000000
0.000000000 + -1.333333333x + x2 = 0 + -2.083333333
-1.333333333x + x2 = 0 + -2.083333333

Combine like terms: 0 + -2.083333333 = -2.083333333
-1.333333333x + x2 = -2.083333333

The x term is -1.333333333x.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333x + 0.4444444442 + x2 = -2.083333333 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333x + x2 = -2.083333333 + 0.4444444442

Combine like terms: -2.083333333 + 0.4444444442 = -1.6388888888
0.4444444442 + -1.333333333x + x2 = -1.6388888888

Factor a perfect square on the left side:
(x + -0.6666666665)(x + -0.6666666665) = -1.6388888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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