x(3x-2)=120

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Solution for x(3x-2)=120 equation:


Simplifying
x(3x + -2) = 120

Reorder the terms:
x(-2 + 3x) = 120
(-2 * x + 3x * x) = 120
(-2x + 3x2) = 120

Solving
-2x + 3x2 = 120

Solving for variable 'x'.

Reorder the terms:
-120 + -2x + 3x2 = 120 + -120

Combine like terms: 120 + -120 = 0
-120 + -2x + 3x2 = 0

Factor a trinomial.
(-6 + -1x)(20 + -3x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(20 + -3x)' equal to zero and attempt to solve: Simplifying 20 + -3x = 0 Solving 20 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -3x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -3x = 0 + -20 -3x = 0 + -20 Combine like terms: 0 + -20 = -20 -3x = -20 Divide each side by '-3'. x = 6.666666667 Simplifying x = 6.666666667

Solution

x = {-6, 6.666666667}

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