0=12x^2+23x-24

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Solution for 0=12x^2+23x-24 equation: 


Simplifying
0 = 12x2 + 23x + -24

Reorder the terms:
0 = -24 + 23x + 12x2

Solving
0 = -24 + 23x + 12x2

Solving for variable 'x'.

Combine like terms: 0 + 24 = 24
24 + -23x + -12x2 = -24 + 23x + 12x2 + 24 + -23x + -12x2

Reorder the terms:
24 + -23x + -12x2 = -24 + 24 + 23x + -23x + 12x2 + -12x2

Combine like terms: -24 + 24 = 0
24 + -23x + -12x2 = 0 + 23x + -23x + 12x2 + -12x2
24 + -23x + -12x2 = 23x + -23x + 12x2 + -12x2

Combine like terms: 23x + -23x = 0
24 + -23x + -12x2 = 0 + 12x2 + -12x2
24 + -23x + -12x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
24 + -23x + -12x2 = 0

Factor a trinomial.
(3 + -4x)(8 + 3x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(8 + 3x)' equal to zero and attempt to solve:

Simplifying
8 + 3x = 0

Solving
8 + 3x = 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 + 3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = 0 + -8
3x = 0 + -8

Combine like terms: 0 + -8 = -8
3x = -8

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667
Solution
x = {0.75, -2.666666667}

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