0=3x^2+17x-6

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Solution for 0=3x^2+17x-6 equation:


Simplifying
0 = 3x2 + 17x + -6

Reorder the terms:
0 = -6 + 17x + 3x2

Solving
0 = -6 + 17x + 3x2

Solving for variable 'x'.

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

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

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

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

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

Factor a trinomial.
(1 + -3x)(6 + x) = 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 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 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 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6

Solution

x = {0.3333333333, -6}

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