6x^2+50x+47=-1+4x+x^2

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Solution for 6x^2+50x+47=-1+4x+x^2 equation: 


Simplifying
6x2 + 50x + 47 = -1 + 4x + x2

Reorder the terms:
47 + 50x + 6x2 = -1 + 4x + x2

Solving
47 + 50x + 6x2 = -1 + 4x + x2

Solving for variable 'x'.

Reorder the terms:
47 + 1 + 50x + -4x + 6x2 + -1x2 = -1 + 4x + x2 + 1 + -4x + -1x2

Combine like terms: 47 + 1 = 48
48 + 50x + -4x + 6x2 + -1x2 = -1 + 4x + x2 + 1 + -4x + -1x2

Combine like terms: 50x + -4x = 46x
48 + 46x + 6x2 + -1x2 = -1 + 4x + x2 + 1 + -4x + -1x2

Combine like terms: 6x2 + -1x2 = 5x2
48 + 46x + 5x2 = -1 + 4x + x2 + 1 + -4x + -1x2

Reorder the terms:
48 + 46x + 5x2 = -1 + 1 + 4x + -4x + x2 + -1x2

Combine like terms: -1 + 1 = 0
48 + 46x + 5x2 = 0 + 4x + -4x + x2 + -1x2
48 + 46x + 5x2 = 4x + -4x + x2 + -1x2

Combine like terms: 4x + -4x = 0
48 + 46x + 5x2 = 0 + x2 + -1x2
48 + 46x + 5x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
48 + 46x + 5x2 = 0

Factor a trinomial.
(8 + x)(6 + 5x) = 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 '(6 + 5x)' equal to zero and attempt to solve:

Simplifying
6 + 5x = 0

Solving
6 + 5x = 0

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

Add '-6' to each side of the equation.
6 + -6 + 5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = 0 + -6
5x = 0 + -6

Combine like terms: 0 + -6 = -6
5x = -6

Divide each side by '5'.
x = -1.2

Simplifying
x = -1.2
Solution
x = {-8, -1.2}

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