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

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

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

Reorder the terms:
(4 + x)(x + -3) + 2(9x + 9) = 0

Reorder the terms:
(4 + x)(-3 + x) + 2(9x + 9) = 0

Multiply (4 + x) * (-3 + x)
(4(-3 + x) + x(-3 + x)) + 2(9x + 9) = 0
((-3 * 4 + x * 4) + x(-3 + x)) + 2(9x + 9) = 0
((-12 + 4x) + x(-3 + x)) + 2(9x + 9) = 0
(-12 + 4x + (-3 * x + x * x)) + 2(9x + 9) = 0
(-12 + 4x + (-3x + x2)) + 2(9x + 9) = 0

Combine like terms: 4x + -3x = 1x
(-12 + 1x + x2) + 2(9x + 9) = 0

Reorder the terms:
-12 + 1x + x2 + 2(9 + 9x) = 0
-12 + 1x + x2 + (9 * 2 + 9x * 2) = 0
-12 + 1x + x2 + (18 + 18x) = 0

Reorder the terms:
-12 + 18 + 1x + 18x + x2 = 0

Combine like terms: -12 + 18 = 6
6 + 1x + 18x + x2 = 0

Combine like terms: 1x + 18x = 19x
6 + 19x + x2 = 0

Solving
6 + 19x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 19x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + 19x + x2 = 0 + -6

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

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

The x term is 19x.  Take half its coefficient (9.5).
Square it (90.25) and add it to both sides.

Add '90.25' to each side of the equation.
19x + 90.25 + x2 = -6 + 90.25

Reorder the terms:
90.25 + 19x + x2 = -6 + 90.25

Combine like terms: -6 + 90.25 = 84.25
90.25 + 19x + x2 = 84.25

Factor a perfect square on the left side:
(x + 9.5)(x + 9.5) = 84.25

Calculate the square root of the right side: 9.178779875

Break this problem into two subproblems by setting 
(x + 9.5) equal to 9.178779875 and -9.178779875.

Subproblem 1
x + 9.5 = 9.178779875

Simplifying
x + 9.5 = 9.178779875

Reorder the terms:
9.5 + x = 9.178779875

Solving
9.5 + x = 9.178779875

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9.5' to each side of the equation.
9.5 + -9.5 + x = 9.178779875 + -9.5

Combine like terms: 9.5 + -9.5 = 0.0
0.0 + x = 9.178779875 + -9.5
x = 9.178779875 + -9.5

Combine like terms: 9.178779875 + -9.5 = -0.321220125
x = -0.321220125

Simplifying
x = -0.321220125

Subproblem 2
x + 9.5 = -9.178779875

Simplifying
x + 9.5 = -9.178779875

Reorder the terms:
9.5 + x = -9.178779875

Solving
9.5 + x = -9.178779875

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9.5' to each side of the equation.
9.5 + -9.5 + x = -9.178779875 + -9.5

Combine like terms: 9.5 + -9.5 = 0.0
0.0 + x = -9.178779875 + -9.5
x = -9.178779875 + -9.5

Combine like terms: -9.178779875 + -9.5 = -18.678779875
x = -18.678779875

Simplifying
x = -18.678779875

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.321220125, -18.678779875}