2(x^2+3)+5=-2(x^2+6x)+2

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Solution for 2(x^2+3)+5=-2(x^2+6x)+2 equation: 


Simplifying
2(x2 + 3) + 5 = -2(x2 + 6x) + 2

Reorder the terms:
2(3 + x2) + 5 = -2(x2 + 6x) + 2
(3 * 2 + x2 * 2) + 5 = -2(x2 + 6x) + 2
(6 + 2x2) + 5 = -2(x2 + 6x) + 2

Reorder the terms:
6 + 5 + 2x2 = -2(x2 + 6x) + 2

Combine like terms: 6 + 5 = 11
11 + 2x2 = -2(x2 + 6x) + 2

Reorder the terms:
11 + 2x2 = -2(6x + x2) + 2
11 + 2x2 = (6x * -2 + x2 * -2) + 2
11 + 2x2 = (-12x + -2x2) + 2

Reorder the terms:
11 + 2x2 = 2 + -12x + -2x2

Solving
11 + 2x2 = 2 + -12x + -2x2

Solving for variable 'x'.

Reorder the terms:
11 + -2 + 12x + 2x2 + 2x2 = 2 + -12x + -2x2 + -2 + 12x + 2x2

Combine like terms: 11 + -2 = 9
9 + 12x + 2x2 + 2x2 = 2 + -12x + -2x2 + -2 + 12x + 2x2

Combine like terms: 2x2 + 2x2 = 4x2
9 + 12x + 4x2 = 2 + -12x + -2x2 + -2 + 12x + 2x2

Reorder the terms:
9 + 12x + 4x2 = 2 + -2 + -12x + 12x + -2x2 + 2x2

Combine like terms: 2 + -2 = 0
9 + 12x + 4x2 = 0 + -12x + 12x + -2x2 + 2x2
9 + 12x + 4x2 = -12x + 12x + -2x2 + 2x2

Combine like terms: -12x + 12x = 0
9 + 12x + 4x2 = 0 + -2x2 + 2x2
9 + 12x + 4x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
9 + 12x + 4x2 = 0

Factor a trinomial.
(3 + 2x)(3 + 2x) = 0


Subproblem 1
Set the factor '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5

Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Solution
x = {-1.5, -1.5}

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