0=3x^2-4x-84

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Solution for 0=3x^2-4x-84 equation: 


Simplifying
0 = 3x2 + -4x + -84

Reorder the terms:
0 = -84 + -4x + 3x2

Solving
0 = -84 + -4x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + 84 = 84
84 + 4x + -3x2 = -84 + -4x + 3x2 + 84 + 4x + -3x2

Reorder the terms:
84 + 4x + -3x2 = -84 + 84 + -4x + 4x + 3x2 + -3x2

Combine like terms: -84 + 84 = 0
84 + 4x + -3x2 = 0 + -4x + 4x + 3x2 + -3x2
84 + 4x + -3x2 = -4x + 4x + 3x2 + -3x2

Combine like terms: -4x + 4x = 0
84 + 4x + -3x2 = 0 + 3x2 + -3x2
84 + 4x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
84 + 4x + -3x2 = 0

Factor a trinomial.
(6 + -1x)(14 + 3x) = 0


Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

Subproblem 2
Set the factor '(14 + 3x)' equal to zero and attempt to solve:

Simplifying
14 + 3x = 0

Solving
14 + 3x = 0

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

Add '-14' to each side of the equation.
14 + -14 + 3x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 3x = 0 + -14
3x = 0 + -14

Combine like terms: 0 + -14 = -14
3x = -14

Divide each side by '3'.
x = -4.666666667

Simplifying
x = -4.666666667
Solution
x = {6, -4.666666667}

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