3x^2+6x+3+20(x+1)-7=0

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Solution for 3x^2+6x+3+20(x+1)-7=0 equation: 


Simplifying
3x2 + 6x + 3 + 20(x + 1) + -7 = 0

Reorder the terms:
3x2 + 6x + 3 + 20(1 + x) + -7 = 0
3x2 + 6x + 3 + (1 * 20 + x * 20) + -7 = 0
3x2 + 6x + 3 + (20 + 20x) + -7 = 0

Reorder the terms:
3 + 20 + -7 + 6x + 20x + 3x2 = 0

Combine like terms: 3 + 20 = 23
23 + -7 + 6x + 20x + 3x2 = 0

Combine like terms: 23 + -7 = 16
16 + 6x + 20x + 3x2 = 0

Combine like terms: 6x + 20x = 26x
16 + 26x + 3x2 = 0

Solving
16 + 26x + 3x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8

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

Simplifying
2 + 3x = 0

Solving
2 + 3x = 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 + 3x = 0 + -2

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

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

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667
Solution
x = {-8, -0.6666666667}

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