x+7+x+2+4x-2+x^2-3x=47

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Solution for x+7+x+2+4x-2+x^2-3x=47 equation: 


Simplifying
x + 7 + x + 2 + 4x + -2 + x2 + -3x = 47

Reorder the terms:
7 + 2 + -2 + x + x + 4x + -3x + x2 = 47

Combine like terms: 7 + 2 = 9
9 + -2 + x + x + 4x + -3x + x2 = 47

Combine like terms: 9 + -2 = 7
7 + x + x + 4x + -3x + x2 = 47

Combine like terms: x + x = 2x
7 + 2x + 4x + -3x + x2 = 47

Combine like terms: 2x + 4x = 6x
7 + 6x + -3x + x2 = 47

Combine like terms: 6x + -3x = 3x
7 + 3x + x2 = 47

Solving
7 + 3x + x2 = 47

Solving for variable 'x'.

Reorder the terms:
7 + -47 + 3x + x2 = 47 + -47

Combine like terms: 7 + -47 = -40
-40 + 3x + x2 = 47 + -47

Combine like terms: 47 + -47 = 0
-40 + 3x + x2 = 0

Factor a trinomial.
(-8 + -1x)(5 + -1x) = 0


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

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 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 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-8, 5}

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