0=24x^2+14x-3

Solution for 0=24x^2+14x-3 equation:

Simplifying
0 = 24x2 + 14x + -3

Reorder the terms:
0 = -3 + 14x + 24x2

Solving
0 = -3 + 14x + 24x2

Solving for variable 'x'.

Combine like terms: 0 + 3 = 3
3 + -14x + -24x2 = -3 + 14x + 24x2 + 3 + -14x + -24x2

Reorder the terms:
3 + -14x + -24x2 = -3 + 3 + 14x + -14x + 24x2 + -24x2

Combine like terms: -3 + 3 = 0
3 + -14x + -24x2 = 0 + 14x + -14x + 24x2 + -24x2
3 + -14x + -24x2 = 14x + -14x + 24x2 + -24x2

Combine like terms: 14x + -14x = 0
3 + -14x + -24x2 = 0 + 24x2 + -24x2
3 + -14x + -24x2 = 24x2 + -24x2

Combine like terms: 24x2 + -24x2 = 0
3 + -14x + -24x2 = 0

Factor a trinomial.
(1 + -6x)(3 + 4x) = 0

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

Simplifying
1 + -6x = 0

Solving
1 + -6x = 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 + -6x = 0 + -1

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

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

Divide each side by '-6'.
x = 0.1666666667

Simplifying
x = 0.1666666667
Subproblem 2
Set the factor '(3 + 4x)' equal to zero and attempt to solve:

Simplifying
3 + 4x = 0

Solving
3 + 4x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 4x = 0 + -3

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

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

Divide each side by '4'.
x = -0.75

Simplifying
x = -0.75
Solution
x = {0.1666666667, -0.75}