3x^2+8x+14=-5x

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Solution for 3x^2+8x+14=-5x equation: 


Simplifying
3x2 + 8x + 14 = -5x

Reorder the terms:
14 + 8x + 3x2 = -5x

Solving
14 + 8x + 3x2 = -5x

Solving for variable 'x'.

Reorder the terms:
14 + 8x + 5x + 3x2 = -5x + 5x

Combine like terms: 8x + 5x = 13x
14 + 13x + 3x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
14 + 13x + 3x2 = 0

Factor a trinomial.
(7 + 3x)(2 + x) = 0


Subproblem 1
Set the factor '(7 + 3x)' equal to zero and attempt to solve:

Simplifying
7 + 3x = 0

Solving
7 + 3x = 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 + 3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 0 + -7
3x = 0 + -7

Combine like terms: 0 + -7 = -7
3x = -7

Divide each side by '3'.
x = -2.333333333

Simplifying
x = -2.333333333

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 = {-2.333333333, -2}

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