3x^2-28x+5=-6x-2

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Solution for 3x^2-28x+5=-6x-2 equation: 


Simplifying
3x2 + -28x + 5 = -6x + -2

Reorder the terms:
5 + -28x + 3x2 = -6x + -2

Reorder the terms:
5 + -28x + 3x2 = -2 + -6x

Solving
5 + -28x + 3x2 = -2 + -6x

Solving for variable 'x'.

Reorder the terms:
5 + 2 + -28x + 6x + 3x2 = -2 + -6x + 2 + 6x

Combine like terms: 5 + 2 = 7
7 + -28x + 6x + 3x2 = -2 + -6x + 2 + 6x

Combine like terms: -28x + 6x = -22x
7 + -22x + 3x2 = -2 + -6x + 2 + 6x

Reorder the terms:
7 + -22x + 3x2 = -2 + 2 + -6x + 6x

Combine like terms: -2 + 2 = 0
7 + -22x + 3x2 = 0 + -6x + 6x
7 + -22x + 3x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
7 + -22x + 3x2 = 0

Factor a trinomial.
(1 + -3x)(7 + -1x) = 0


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

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {0.3333333333, 7}

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