5x-6x(2x-10)=130

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Solution for 5x-6x(2x-10)=130 equation: 


Simplifying
5x + -6x(2x + -10) = 130

Reorder the terms:
5x + -6x(-10 + 2x) = 130
5x + (-10 * -6x + 2x * -6x) = 130
5x + (60x + -12x2) = 130

Combine like terms: 5x + 60x = 65x
65x + -12x2 = 130

Solving
65x + -12x2 = 130

Solving for variable 'x'.

Reorder the terms:
-130 + 65x + -12x2 = 130 + -130

Combine like terms: 130 + -130 = 0
-130 + 65x + -12x2 = 0

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

Divide each side by '-12'.
10.83333333 + -5.416666667x + x2 = 0

Move the constant term to the right:

Add '-10.83333333' to each side of the equation.
10.83333333 + -5.416666667x + -10.83333333 + x2 = 0 + -10.83333333

Reorder the terms:
10.83333333 + -10.83333333 + -5.416666667x + x2 = 0 + -10.83333333

Combine like terms: 10.83333333 + -10.83333333 = 0.00000000
0.00000000 + -5.416666667x + x2 = 0 + -10.83333333
-5.416666667x + x2 = 0 + -10.83333333

Combine like terms: 0 + -10.83333333 = -10.83333333
-5.416666667x + x2 = -10.83333333

The x term is -5.416666667x.  Take half its coefficient (-2.708333334).
Square it (7.335069448) and add it to both sides.

Add '7.335069448' to each side of the equation.
-5.416666667x + 7.335069448 + x2 = -10.83333333 + 7.335069448

Reorder the terms:
7.335069448 + -5.416666667x + x2 = -10.83333333 + 7.335069448

Combine like terms: -10.83333333 + 7.335069448 = -3.498263882
7.335069448 + -5.416666667x + x2 = -3.498263882

Factor a perfect square on the left side:
(x + -2.708333334)(x + -2.708333334) = -3.498263882

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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