3x^2-109x+330=0

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Solution for 3x^2-109x+330=0 equation:


Simplifying
3x2 + -109x + 330 = 0

Reorder the terms:
330 + -109x + 3x2 = 0

Solving
330 + -109x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(10 + -3x)(33 + -1x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(33 + -1x)' equal to zero and attempt to solve: Simplifying 33 + -1x = 0 Solving 33 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -1x = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -1x = 0 + -33 -1x = 0 + -33 Combine like terms: 0 + -33 = -33 -1x = -33 Divide each side by '-1'. x = 33 Simplifying x = 33

Solution

x = {3.333333333, 33}

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