3x^2+19x-8=8-3x

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Solution for 3x^2+19x-8=8-3x equation:


Simplifying
3x2 + 19x + -8 = 8 + -3x

Reorder the terms:
-8 + 19x + 3x2 = 8 + -3x

Solving
-8 + 19x + 3x2 = 8 + -3x

Solving for variable 'x'.

Reorder the terms:
-8 + -8 + 19x + 3x + 3x2 = 8 + -3x + -8 + 3x

Combine like terms: -8 + -8 = -16
-16 + 19x + 3x + 3x2 = 8 + -3x + -8 + 3x

Combine like terms: 19x + 3x = 22x
-16 + 22x + 3x2 = 8 + -3x + -8 + 3x

Reorder the terms:
-16 + 22x + 3x2 = 8 + -8 + -3x + 3x

Combine like terms: 8 + -8 = 0
-16 + 22x + 3x2 = 0 + -3x + 3x
-16 + 22x + 3x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
-16 + 22x + 3x2 = 0

Factor a trinomial.
(-8 + -1x)(2 + -3x) = 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 '(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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