3x^2+14x-5=3-9x

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Solution for 3x^2+14x-5=3-9x equation: 


Simplifying
3x2 + 14x + -5 = 3 + -9x

Reorder the terms:
-5 + 14x + 3x2 = 3 + -9x

Solving
-5 + 14x + 3x2 = 3 + -9x

Solving for variable 'x'.

Reorder the terms:
-5 + -3 + 14x + 9x + 3x2 = 3 + -9x + -3 + 9x

Combine like terms: -5 + -3 = -8
-8 + 14x + 9x + 3x2 = 3 + -9x + -3 + 9x

Combine like terms: 14x + 9x = 23x
-8 + 23x + 3x2 = 3 + -9x + -3 + 9x

Reorder the terms:
-8 + 23x + 3x2 = 3 + -3 + -9x + 9x

Combine like terms: 3 + -3 = 0
-8 + 23x + 3x2 = 0 + -9x + 9x
-8 + 23x + 3x2 = -9x + 9x

Combine like terms: -9x + 9x = 0
-8 + 23x + 3x2 = 0

Factor a trinomial.
(-8 + -1x)(1 + -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 '(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
Solution
x = {-8, 0.3333333333}

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