0=24x^2-2x-15

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Solution for 0=24x^2-2x-15 equation: 


Simplifying
0 = 24x2 + -2x + -15

Reorder the terms:
0 = -15 + -2x + 24x2

Solving
0 = -15 + -2x + 24x2

Solving for variable 'x'.

Combine like terms: 0 + 15 = 15
15 + 2x + -24x2 = -15 + -2x + 24x2 + 15 + 2x + -24x2

Reorder the terms:
15 + 2x + -24x2 = -15 + 15 + -2x + 2x + 24x2 + -24x2

Combine like terms: -15 + 15 = 0
15 + 2x + -24x2 = 0 + -2x + 2x + 24x2 + -24x2
15 + 2x + -24x2 = -2x + 2x + 24x2 + -24x2

Combine like terms: -2x + 2x = 0
15 + 2x + -24x2 = 0 + 24x2 + -24x2
15 + 2x + -24x2 = 24x2 + -24x2

Combine like terms: 24x2 + -24x2 = 0
15 + 2x + -24x2 = 0

Factor a trinomial.
(5 + -6x)(3 + 4x) = 0


Subproblem 1
Set the factor '(5 + -6x)' equal to zero and attempt to solve:

Simplifying
5 + -6x = 0

Solving
5 + -6x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -6x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = 0 + -5
-6x = 0 + -5

Combine like terms: 0 + -5 = -5
-6x = -5

Divide each side by '-6'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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 = {0.8333333333, -0.75}

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