0=-3x^2+13x-10

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Solution for 0=-3x^2+13x-10 equation: 


Simplifying
0 = -3x2 + 13x + -10

Reorder the terms:
0 = -10 + 13x + -3x2

Solving
0 = -10 + 13x + -3x2

Solving for variable 'x'.

Combine like terms: 0 + 10 = 10
10 + -13x + 3x2 = -10 + 13x + -3x2 + 10 + -13x + 3x2

Reorder the terms:
10 + -13x + 3x2 = -10 + 10 + 13x + -13x + -3x2 + 3x2

Combine like terms: -10 + 10 = 0
10 + -13x + 3x2 = 0 + 13x + -13x + -3x2 + 3x2
10 + -13x + 3x2 = 13x + -13x + -3x2 + 3x2

Combine like terms: 13x + -13x = 0
10 + -13x + 3x2 = 0 + -3x2 + 3x2
10 + -13x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
10 + -13x + 3x2 = 0

Factor a trinomial.
(1 + -1x)(10 + -3x) = 0


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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1

Subproblem 2
Set the factor '(10 + -3x)' equal to zero and attempt to solve:

Simplifying
10 + -3x = 0

Solving
10 + -3x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -3x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = 0 + -10
-3x = 0 + -10

Combine like terms: 0 + -10 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333
Solution
x = {1, 3.333333333}

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