2x^2+25x+20=-x^2-8

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Solution for 2x^2+25x+20=-x^2-8 equation: 


Simplifying
2x2 + 25x + 20 = -1x2 + -8

Reorder the terms:
20 + 25x + 2x2 = -1x2 + -8

Reorder the terms:
20 + 25x + 2x2 = -8 + -1x2

Solving
20 + 25x + 2x2 = -8 + -1x2

Solving for variable 'x'.

Reorder the terms:
20 + 8 + 25x + 2x2 + x2 = -8 + -1x2 + 8 + x2

Combine like terms: 20 + 8 = 28
28 + 25x + 2x2 + x2 = -8 + -1x2 + 8 + x2

Combine like terms: 2x2 + x2 = 3x2
28 + 25x + 3x2 = -8 + -1x2 + 8 + x2

Reorder the terms:
28 + 25x + 3x2 = -8 + 8 + -1x2 + x2

Combine like terms: -8 + 8 = 0
28 + 25x + 3x2 = 0 + -1x2 + x2
28 + 25x + 3x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
28 + 25x + 3x2 = 0

Factor a trinomial.
(7 + x)(4 + 3x) = 0


Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7

Subproblem 2
Set the factor '(4 + 3x)' equal to zero and attempt to solve:

Simplifying
4 + 3x = 0

Solving
4 + 3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 0 + -4
3x = 0 + -4

Combine like terms: 0 + -4 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333
Solution
x = {-7, -1.333333333}

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