0=3X^2-22X+35

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Solution for 0=3X^2-22X+35 equation: 


Simplifying
0 = 3X2 + -22X + 35

Reorder the terms:
0 = 35 + -22X + 3X2

Solving
0 = 35 + -22X + 3X2

Solving for variable 'X'.

Combine like terms: 0 + -35 = -35
-35 + 22X + -3X2 = 35 + -22X + 3X2 + -35 + 22X + -3X2

Reorder the terms:
-35 + 22X + -3X2 = 35 + -35 + -22X + 22X + 3X2 + -3X2

Combine like terms: 35 + -35 = 0
-35 + 22X + -3X2 = 0 + -22X + 22X + 3X2 + -3X2
-35 + 22X + -3X2 = -22X + 22X + 3X2 + -3X2

Combine like terms: -22X + 22X = 0
-35 + 22X + -3X2 = 0 + 3X2 + -3X2
-35 + 22X + -3X2 = 3X2 + -3X2

Combine like terms: 3X2 + -3X2 = 0
-35 + 22X + -3X2 = 0

Factor a trinomial.
(-5 + X)(7 + -3X) = 0


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

Simplifying
-5 + X = 0

Solving
-5 + X = 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 + X = 0 + 5

Combine like terms: -5 + 5 = 0
0 + X = 0 + 5
X = 0 + 5

Combine like terms: 0 + 5 = 5
X = 5

Simplifying
X = 5

Subproblem 2
Set the factor '(7 + -3X)' equal to zero and attempt to solve:

Simplifying
7 + -3X = 0

Solving
7 + -3X = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3X = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3X = 0 + -7
-3X = 0 + -7

Combine like terms: 0 + -7 = -7
-3X = -7

Divide each side by '-3'.
X = 2.333333333

Simplifying
X = 2.333333333
Solution
X = {5, 2.333333333}

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