(14x^2-8x+3)-(6x^2+7x-11)=

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Solution for (14x^2-8x+3)-(6x^2+7x-11)= equation: 


Simplifying
(14x2 + -8x + 3) + -1(6x2 + 7x + -11) = 0

Reorder the terms:
(3 + -8x + 14x2) + -1(6x2 + 7x + -11) = 0

Remove parenthesis around (3 + -8x + 14x2)
3 + -8x + 14x2 + -1(6x2 + 7x + -11) = 0

Reorder the terms:
3 + -8x + 14x2 + -1(-11 + 7x + 6x2) = 0
3 + -8x + 14x2 + (-11 * -1 + 7x * -1 + 6x2 * -1) = 0
3 + -8x + 14x2 + (11 + -7x + -6x2) = 0

Reorder the terms:
3 + 11 + -8x + -7x + 14x2 + -6x2 = 0

Combine like terms: 3 + 11 = 14
14 + -8x + -7x + 14x2 + -6x2 = 0

Combine like terms: -8x + -7x = -15x
14 + -15x + 14x2 + -6x2 = 0

Combine like terms: 14x2 + -6x2 = 8x2
14 + -15x + 8x2 = 0

Solving
14 + -15x + 8x2 = 0

Solving for variable 'x'.

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

Divide each side by '8'.
1.75 + -1.875x + x2 = 0

Move the constant term to the right:

Add '-1.75' to each side of the equation.
1.75 + -1.875x + -1.75 + x2 = 0 + -1.75

Reorder the terms:
1.75 + -1.75 + -1.875x + x2 = 0 + -1.75

Combine like terms: 1.75 + -1.75 = 0.00
0.00 + -1.875x + x2 = 0 + -1.75
-1.875x + x2 = 0 + -1.75

Combine like terms: 0 + -1.75 = -1.75
-1.875x + x2 = -1.75

The x term is -1.875x.  Take half its coefficient (-0.9375).
Square it (0.87890625) and add it to both sides.

Add '0.87890625' to each side of the equation.
-1.875x + 0.87890625 + x2 = -1.75 + 0.87890625

Reorder the terms:
0.87890625 + -1.875x + x2 = -1.75 + 0.87890625

Combine like terms: -1.75 + 0.87890625 = -0.87109375
0.87890625 + -1.875x + x2 = -0.87109375

Factor a perfect square on the left side:
(x + -0.9375)(x + -0.9375) = -0.87109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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