0=3x^2+4x-224

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Solution for 0=3x^2+4x-224 equation: 


Simplifying
0 = 3x2 + 4x + -224

Reorder the terms:
0 = -224 + 4x + 3x2

Solving
0 = -224 + 4x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + 224 = 224
224 + -4x + -3x2 = -224 + 4x + 3x2 + 224 + -4x + -3x2

Reorder the terms:
224 + -4x + -3x2 = -224 + 224 + 4x + -4x + 3x2 + -3x2

Combine like terms: -224 + 224 = 0
224 + -4x + -3x2 = 0 + 4x + -4x + 3x2 + -3x2
224 + -4x + -3x2 = 4x + -4x + 3x2 + -3x2

Combine like terms: 4x + -4x = 0
224 + -4x + -3x2 = 0 + 3x2 + -3x2
224 + -4x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
224 + -4x + -3x2 = 0

Factor a trinomial.
(8 + -1x)(28 + 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 '(28 + 3x)' equal to zero and attempt to solve:

Simplifying
28 + 3x = 0

Solving
28 + 3x = 0

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

Add '-28' to each side of the equation.
28 + -28 + 3x = 0 + -28

Combine like terms: 28 + -28 = 0
0 + 3x = 0 + -28
3x = 0 + -28

Combine like terms: 0 + -28 = -28
3x = -28

Divide each side by '3'.
x = -9.333333333

Simplifying
x = -9.333333333
Solution
x = {8, -9.333333333}

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