3(x+2)-(x-7)(x+2)=

Solution for 3(x+2)-(x-7)(x+2)= equation:

Simplifying
3(x + 2) + -1(x + -7)(x + 2) = 0

Reorder the terms:
3(2 + x) + -1(x + -7)(x + 2) = 0
(2 * 3 + x * 3) + -1(x + -7)(x + 2) = 0
(6 + 3x) + -1(x + -7)(x + 2) = 0

Reorder the terms:
6 + 3x + -1(-7 + x)(x + 2) = 0

Reorder the terms:
6 + 3x + -1(-7 + x)(2 + x) = 0

Multiply (-7 + x) * (2 + x)
6 + 3x + -1(-7(2 + x) + x(2 + x)) = 0
6 + 3x + -1((2 * -7 + x * -7) + x(2 + x)) = 0
6 + 3x + -1((-14 + -7x) + x(2 + x)) = 0
6 + 3x + -1(-14 + -7x + (2 * x + x * x)) = 0
6 + 3x + -1(-14 + -7x + (2x + x2)) = 0

Combine like terms: -7x + 2x = -5x
6 + 3x + -1(-14 + -5x + x2) = 0
6 + 3x + (-14 * -1 + -5x * -1 + x2 * -1) = 0
6 + 3x + (14 + 5x + -1x2) = 0

Reorder the terms:
6 + 14 + 3x + 5x + -1x2 = 0

Combine like terms: 6 + 14 = 20
20 + 3x + 5x + -1x2 = 0

Combine like terms: 3x + 5x = 8x
20 + 8x + -1x2 = 0

Solving
20 + 8x + -1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(10 + -1x)(2 + x) = 0

Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {10, -2}