3x^2-19x+5=-6x-7

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Solution for 3x^2-19x+5=-6x-7 equation: 


Simplifying
3x2 + -19x + 5 = -6x + -7

Reorder the terms:
5 + -19x + 3x2 = -6x + -7

Reorder the terms:
5 + -19x + 3x2 = -7 + -6x

Solving
5 + -19x + 3x2 = -7 + -6x

Solving for variable 'x'.

Reorder the terms:
5 + 7 + -19x + 6x + 3x2 = -7 + -6x + 7 + 6x

Combine like terms: 5 + 7 = 12
12 + -19x + 6x + 3x2 = -7 + -6x + 7 + 6x

Combine like terms: -19x + 6x = -13x
12 + -13x + 3x2 = -7 + -6x + 7 + 6x

Reorder the terms:
12 + -13x + 3x2 = -7 + 7 + -6x + 6x

Combine like terms: -7 + 7 = 0
12 + -13x + 3x2 = 0 + -6x + 6x
12 + -13x + 3x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
12 + -13x + 3x2 = 0

Factor a trinomial.
(4 + -3x)(3 + -1x) = 0


Subproblem 1
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {1.333333333, 3}

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