4(x^2+2x-8)-2(3x^2+x+9)=

Solution for 4(x^2+2x-8)-2(3x^2+x+9)= equation:

Simplifying
4(x2 + 2x + -8) + -2(3x2 + x + 9) = 0

Reorder the terms:
4(-8 + 2x + x2) + -2(3x2 + x + 9) = 0
(-8 * 4 + 2x * 4 + x2 * 4) + -2(3x2 + x + 9) = 0
(-32 + 8x + 4x2) + -2(3x2 + x + 9) = 0

Reorder the terms:
-32 + 8x + 4x2 + -2(9 + x + 3x2) = 0
-32 + 8x + 4x2 + (9 * -2 + x * -2 + 3x2 * -2) = 0
-32 + 8x + 4x2 + (-18 + -2x + -6x2) = 0

Reorder the terms:
-32 + -18 + 8x + -2x + 4x2 + -6x2 = 0

Combine like terms: -32 + -18 = -50
-50 + 8x + -2x + 4x2 + -6x2 = 0

Combine like terms: 8x + -2x = 6x
-50 + 6x + 4x2 + -6x2 = 0

Combine like terms: 4x2 + -6x2 = -2x2
-50 + 6x + -2x2 = 0

Solving
-50 + 6x + -2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-25 + 3x + -1x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-25 + 3x + -1x2)' equal to zero and attempt to solve:

Simplifying
-25 + 3x + -1x2 = 0

Solving
-25 + 3x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
25 + -3x + x2 = 0

Move the constant term to the right:

Add '-25' to each side of the equation.
25 + -3x + -25 + x2 = 0 + -25

Reorder the terms:
25 + -25 + -3x + x2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -3x + x2 = 0 + -25
-3x + x2 = 0 + -25

Combine like terms: 0 + -25 = -25
-3x + x2 = -25

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -25 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -25 + 2.25

Combine like terms: -25 + 2.25 = -22.75
2.25 + -3x + x2 = -22.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -22.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.