3x^2-17x=6

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Solution for 3x^2-17x=6 equation:


Simplifying
3x2 + -17x = 6

Reorder the terms:
-17x + 3x2 = 6

Solving
-17x + 3x2 = 6

Solving for variable 'x'.

Reorder the terms:
-6 + -17x + 3x2 = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + -17x + 3x2 = 0

Factor a trinomial.
(-1 + -3x)(6 + -1x) = 0

Subproblem 1

Set the factor '(-1 + -3x)' equal to zero and attempt to solve: Simplifying -1 + -3x = 0 Solving -1 + -3x = 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 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333

Subproblem 2

Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6

Solution

x = {-0.3333333333, 6}

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