15x^2-66x+24x=0

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Solution for 15x^2-66x+24x=0 equation: 


Simplifying
15x2 + -66x + 24x = 0

Reorder the terms:
-66x + 24x + 15x2 = 0

Combine like terms: -66x + 24x = -42x
-42x + 15x2 = 0

Solving
-42x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-14 + 5x) = 0

Ignore the factor 3.

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 '(-14 + 5x)' equal to zero and attempt to solve:

Simplifying
-14 + 5x = 0

Solving
-14 + 5x = 0

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

Add '14' to each side of the equation.
-14 + 14 + 5x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 5x = 0 + 14
5x = 0 + 14

Combine like terms: 0 + 14 = 14
5x = 14

Divide each side by '5'.
x = 2.8

Simplifying
x = 2.8
Solution
x = {0, 2.8}

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