(6X^2-5X+8)-1(X^2+7X-1)=

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Solution for (6X^2-5X+8)-1(X^2+7X-1)= equation: 


Simplifying
(6X2 + -5X + 8) + -1(X2 + 7X + -1) = 0

Reorder the terms:
(8 + -5X + 6X2) + -1(X2 + 7X + -1) = 0

Remove parenthesis around (8 + -5X + 6X2)
8 + -5X + 6X2 + -1(X2 + 7X + -1) = 0

Reorder the terms:
8 + -5X + 6X2 + -1(-1 + 7X + X2) = 0
8 + -5X + 6X2 + (-1 * -1 + 7X * -1 + X2 * -1) = 0
8 + -5X + 6X2 + (1 + -7X + -1X2) = 0

Reorder the terms:
8 + 1 + -5X + -7X + 6X2 + -1X2 = 0

Combine like terms: 8 + 1 = 9
9 + -5X + -7X + 6X2 + -1X2 = 0

Combine like terms: -5X + -7X = -12X
9 + -12X + 6X2 + -1X2 = 0

Combine like terms: 6X2 + -1X2 = 5X2
9 + -12X + 5X2 = 0

Solving
9 + -12X + 5X2 = 0

Solving for variable 'X'.

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

Divide each side by '5'.
1.8 + -2.4X + X2 = 0

Move the constant term to the right:

Add '-1.8' to each side of the equation.
1.8 + -2.4X + -1.8 + X2 = 0 + -1.8

Reorder the terms:
1.8 + -1.8 + -2.4X + X2 = 0 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -2.4X + X2 = 0 + -1.8
-2.4X + X2 = 0 + -1.8

Combine like terms: 0 + -1.8 = -1.8
-2.4X + X2 = -1.8

The X term is -2.4X.  Take half its coefficient (-1.2).
Square it (1.44) and add it to both sides.

Add '1.44' to each side of the equation.
-2.4X + 1.44 + X2 = -1.8 + 1.44

Reorder the terms:
1.44 + -2.4X + X2 = -1.8 + 1.44

Combine like terms: -1.8 + 1.44 = -0.36
1.44 + -2.4X + X2 = -0.36

Factor a perfect square on the left side:
(X + -1.2)(X + -1.2) = -0.36

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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