x(3x+1)=14

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Solution for x(3x+1)=14 equation:


Simplifying
x(3x + 1) = 14

Reorder the terms:
x(1 + 3x) = 14
(1 * x + 3x * x) = 14
(1x + 3x2) = 14

Solving
1x + 3x2 = 14

Solving for variable 'x'.

Reorder the terms:
-14 + 1x + 3x2 = 14 + -14

Combine like terms: 14 + -14 = 0
-14 + 1x + 3x2 = 0

Factor a trinomial.
(-7 + -3x)(2 + -1x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {-2.333333333, 2}

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