2X^2+10X+20=-3X+5

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Solution for 2X^2+10X+20=-3X+5 equation: 


Simplifying
2X2 + 10X + 20 = -3X + 5

Reorder the terms:
20 + 10X + 2X2 = -3X + 5

Reorder the terms:
20 + 10X + 2X2 = 5 + -3X

Solving
20 + 10X + 2X2 = 5 + -3X

Solving for variable 'X'.

Reorder the terms:
20 + -5 + 10X + 3X + 2X2 = 5 + -3X + -5 + 3X

Combine like terms: 20 + -5 = 15
15 + 10X + 3X + 2X2 = 5 + -3X + -5 + 3X

Combine like terms: 10X + 3X = 13X
15 + 13X + 2X2 = 5 + -3X + -5 + 3X

Reorder the terms:
15 + 13X + 2X2 = 5 + -5 + -3X + 3X

Combine like terms: 5 + -5 = 0
15 + 13X + 2X2 = 0 + -3X + 3X
15 + 13X + 2X2 = -3X + 3X

Combine like terms: -3X + 3X = 0
15 + 13X + 2X2 = 0

Factor a trinomial.
(5 + X)(3 + 2X) = 0


Subproblem 1
Set the factor '(5 + X)' equal to zero and attempt to solve:

Simplifying
5 + X = 0

Solving
5 + X = 0

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

Add '-5' to each side of the equation.
5 + -5 + X = 0 + -5

Combine like terms: 5 + -5 = 0
0 + X = 0 + -5
X = 0 + -5

Combine like terms: 0 + -5 = -5
X = -5

Simplifying
X = -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 = {-5, -1.5}

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