0=-3x^2+60x-192

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Solution for 0=-3x^2+60x-192 equation: 


Simplifying
0 = -3x2 + 60x + -192

Reorder the terms:
0 = -192 + 60x + -3x2

Solving
0 = -192 + 60x + -3x2

Solving for variable 'x'.

Combine like terms: 0 + 192 = 192
192 + -60x + 3x2 = -192 + 60x + -3x2 + 192 + -60x + 3x2

Reorder the terms:
192 + -60x + 3x2 = -192 + 192 + 60x + -60x + -3x2 + 3x2

Combine like terms: -192 + 192 = 0
192 + -60x + 3x2 = 0 + 60x + -60x + -3x2 + 3x2
192 + -60x + 3x2 = 60x + -60x + -3x2 + 3x2

Combine like terms: 60x + -60x = 0
192 + -60x + 3x2 = 0 + -3x2 + 3x2
192 + -60x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
192 + -60x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(64 + -20x + x2) = 0

Factor a trinomial.
3((4 + -1x)(16 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16
Solution
x = {4, 16}

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