5(6x-10)+3x(1-4x)=

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Solution for 5(6x-10)+3x(1-4x)= equation: 


Simplifying
5(6x + -10) + 3x(1 + -4x) = 0

Reorder the terms:
5(-10 + 6x) + 3x(1 + -4x) = 0
(-10 * 5 + 6x * 5) + 3x(1 + -4x) = 0
(-50 + 30x) + 3x(1 + -4x) = 0
-50 + 30x + (1 * 3x + -4x * 3x) = 0
-50 + 30x + (3x + -12x2) = 0

Combine like terms: 30x + 3x = 33x
-50 + 33x + -12x2 = 0

Solving
-50 + 33x + -12x2 = 0

Solving for variable 'x'.

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

Divide each side by '-12'.
4.166666667 + -2.75x + x2 = 0

Move the constant term to the right:

Add '-4.166666667' to each side of the equation.
4.166666667 + -2.75x + -4.166666667 + x2 = 0 + -4.166666667

Reorder the terms:
4.166666667 + -4.166666667 + -2.75x + x2 = 0 + -4.166666667

Combine like terms: 4.166666667 + -4.166666667 = 0.000000000
0.000000000 + -2.75x + x2 = 0 + -4.166666667
-2.75x + x2 = 0 + -4.166666667

Combine like terms: 0 + -4.166666667 = -4.166666667
-2.75x + x2 = -4.166666667

The x term is -2.75x.  Take half its coefficient (-1.375).
Square it (1.890625) and add it to both sides.

Add '1.890625' to each side of the equation.
-2.75x + 1.890625 + x2 = -4.166666667 + 1.890625

Reorder the terms:
1.890625 + -2.75x + x2 = -4.166666667 + 1.890625

Combine like terms: -4.166666667 + 1.890625 = -2.276041667
1.890625 + -2.75x + x2 = -2.276041667

Factor a perfect square on the left side:
(x + -1.375)(x + -1.375) = -2.276041667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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