(6x-7)(x-2)=-10

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Solution for (6x-7)(x-2)=-10 equation: 


Simplifying
(6x + -7)(x + -2) = -10

Reorder the terms:
(-7 + 6x)(x + -2) = -10

Reorder the terms:
(-7 + 6x)(-2 + x) = -10

Multiply (-7 + 6x) * (-2 + x)
(-7(-2 + x) + 6x * (-2 + x)) = -10
((-2 * -7 + x * -7) + 6x * (-2 + x)) = -10
((14 + -7x) + 6x * (-2 + x)) = -10
(14 + -7x + (-2 * 6x + x * 6x)) = -10
(14 + -7x + (-12x + 6x2)) = -10

Combine like terms: -7x + -12x = -19x
(14 + -19x + 6x2) = -10

Solving
14 + -19x + 6x2 = -10

Solving for variable 'x'.

Reorder the terms:
14 + 10 + -19x + 6x2 = -10 + 10

Combine like terms: 14 + 10 = 24
24 + -19x + 6x2 = -10 + 10

Combine like terms: -10 + 10 = 0
24 + -19x + 6x2 = 0

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

Divide each side by '6'.
4 + -3.166666667x + x2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -3.166666667x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + -3.166666667x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3.166666667x + x2 = 0 + -4
-3.166666667x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-3.166666667x + x2 = -4

The x term is -3.166666667x.  Take half its coefficient (-1.583333334).
Square it (2.506944447) and add it to both sides.

Add '2.506944447' to each side of the equation.
-3.166666667x + 2.506944447 + x2 = -4 + 2.506944447

Reorder the terms:
2.506944447 + -3.166666667x + x2 = -4 + 2.506944447

Combine like terms: -4 + 2.506944447 = -1.493055553
2.506944447 + -3.166666667x + x2 = -1.493055553

Factor a perfect square on the left side:
(x + -1.583333334)(x + -1.583333334) = -1.493055553

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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