0=-3x^2+17x-20

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Solution for 0=-3x^2+17x-20 equation: 


Simplifying
0 = -3x2 + 17x + -20

Reorder the terms:
0 = -20 + 17x + -3x2

Solving
0 = -20 + 17x + -3x2

Solving for variable 'x'.

Combine like terms: 0 + 20 = 20
20 + -17x + 3x2 = -20 + 17x + -3x2 + 20 + -17x + 3x2

Reorder the terms:
20 + -17x + 3x2 = -20 + 20 + 17x + -17x + -3x2 + 3x2

Combine like terms: -20 + 20 = 0
20 + -17x + 3x2 = 0 + 17x + -17x + -3x2 + 3x2
20 + -17x + 3x2 = 17x + -17x + -3x2 + 3x2

Combine like terms: 17x + -17x = 0
20 + -17x + 3x2 = 0 + -3x2 + 3x2
20 + -17x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
20 + -17x + 3x2 = 0

Factor a trinomial.
(5 + -3x)(4 + -1x) = 0


Subproblem 1
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667

Subproblem 2
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
Solution
x = {1.666666667, 4}

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