x(6x+17)=39

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Solution for x(6x+17)=39 equation:


Simplifying
x(6x + 17) = 39

Reorder the terms:
x(17 + 6x) = 39
(17 * x + 6x * x) = 39
(17x + 6x2) = 39

Solving
17x + 6x2 = 39

Solving for variable 'x'.

Reorder the terms:
-39 + 17x + 6x2 = 39 + -39

Combine like terms: 39 + -39 = 0
-39 + 17x + 6x2 = 0

Factor a trinomial.
(-13 + -3x)(3 + -2x) = 0

Subproblem 1

Set the factor '(-13 + -3x)' equal to zero and attempt to solve: Simplifying -13 + -3x = 0 Solving -13 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -3x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -3x = 0 + 13 -3x = 0 + 13 Combine like terms: 0 + 13 = 13 -3x = 13 Divide each side by '-3'. x = -4.333333333 Simplifying x = -4.333333333

Subproblem 2

Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5

Solution

x = {-4.333333333, 1.5}

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