24x^2+16x+144x=0

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Solution for 24x^2+16x+144x=0 equation: 


Simplifying
24x2 + 16x + 144x = 0

Reorder the terms:
16x + 144x + 24x2 = 0

Combine like terms: 16x + 144x = 160x
160x + 24x2 = 0

Solving
160x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8x'.
8x(20 + 3x) = 0

Ignore the factor 8.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(20 + 3x)' equal to zero and attempt to solve:

Simplifying
20 + 3x = 0

Solving
20 + 3x = 0

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

Add '-20' to each side of the equation.
20 + -20 + 3x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 3x = 0 + -20
3x = 0 + -20

Combine like terms: 0 + -20 = -20
3x = -20

Divide each side by '3'.
x = -6.666666667

Simplifying
x = -6.666666667
Solution
x = {0, -6.666666667}

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