0=24x^2+11x-35

Solution for 0=24x^2+11x-35 equation:

Simplifying
0 = 24x2 + 11x + -35

Reorder the terms:
0 = -35 + 11x + 24x2

Solving
0 = -35 + 11x + 24x2

Solving for variable 'x'.

Combine like terms: 0 + 35 = 35
35 + -11x + -24x2 = -35 + 11x + 24x2 + 35 + -11x + -24x2

Reorder the terms:
35 + -11x + -24x2 = -35 + 35 + 11x + -11x + 24x2 + -24x2

Combine like terms: -35 + 35 = 0
35 + -11x + -24x2 = 0 + 11x + -11x + 24x2 + -24x2
35 + -11x + -24x2 = 11x + -11x + 24x2 + -24x2

Combine like terms: 11x + -11x = 0
35 + -11x + -24x2 = 0 + 24x2 + -24x2
35 + -11x + -24x2 = 24x2 + -24x2

Combine like terms: 24x2 + -24x2 = 0
35 + -11x + -24x2 = 0

Factor a trinomial.
(1 + -1x)(35 + 24x) = 0

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

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Subproblem 2
Set the factor '(35 + 24x)' equal to zero and attempt to solve:

Simplifying
35 + 24x = 0

Solving
35 + 24x = 0

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

Add '-35' to each side of the equation.
35 + -35 + 24x = 0 + -35

Combine like terms: 35 + -35 = 0
0 + 24x = 0 + -35
24x = 0 + -35

Combine like terms: 0 + -35 = -35
24x = -35

Divide each side by '24'.
x = -1.458333333

Simplifying
x = -1.458333333
Solution
x = {1, -1.458333333}