234=x(3x-1)

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Solution for 234=x(3x-1) equation:


Simplifying
234 = x(3x + -1)

Reorder the terms:
234 = x(-1 + 3x)
234 = (-1 * x + 3x * x)
234 = (-1x + 3x2)

Solving
234 = -1x + 3x2

Solving for variable 'x'.

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

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

Combine like terms: 3x2 + -3x2 = 0
234 + x + -3x2 = 0

Factor a trinomial.
(9 + -1x)(26 + 3x) = 0

Subproblem 1

Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Subproblem 2

Set the factor '(26 + 3x)' equal to zero and attempt to solve: Simplifying 26 + 3x = 0 Solving 26 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 3x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 3x = 0 + -26 3x = 0 + -26 Combine like terms: 0 + -26 = -26 3x = -26 Divide each side by '3'. x = -8.666666667 Simplifying x = -8.666666667

Solution

x = {9, -8.666666667}

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