0=3x^2+10x-272

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Solution for 0=3x^2+10x-272 equation: 


Simplifying
0 = 3x2 + 10x + -272

Reorder the terms:
0 = -272 + 10x + 3x2

Solving
0 = -272 + 10x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + 272 = 272
272 + -10x + -3x2 = -272 + 10x + 3x2 + 272 + -10x + -3x2

Reorder the terms:
272 + -10x + -3x2 = -272 + 272 + 10x + -10x + 3x2 + -3x2

Combine like terms: -272 + 272 = 0
272 + -10x + -3x2 = 0 + 10x + -10x + 3x2 + -3x2
272 + -10x + -3x2 = 10x + -10x + 3x2 + -3x2

Combine like terms: 10x + -10x = 0
272 + -10x + -3x2 = 0 + 3x2 + -3x2
272 + -10x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
272 + -10x + -3x2 = 0

Factor a trinomial.
(8 + -1x)(34 + 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 '(34 + 3x)' equal to zero and attempt to solve:

Simplifying
34 + 3x = 0

Solving
34 + 3x = 0

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

Add '-34' to each side of the equation.
34 + -34 + 3x = 0 + -34

Combine like terms: 34 + -34 = 0
0 + 3x = 0 + -34
3x = 0 + -34

Combine like terms: 0 + -34 = -34
3x = -34

Divide each side by '3'.
x = -11.33333333

Simplifying
x = -11.33333333
Solution
x = {8, -11.33333333}

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