6x^2+23x+2=-18

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Solution for 6x^2+23x+2=-18 equation:


Simplifying
6x2 + 23x + 2 = -18

Reorder the terms:
2 + 23x + 6x2 = -18

Solving
2 + 23x + 6x2 = -18

Solving for variable 'x'.

Reorder the terms:
2 + 18 + 23x + 6x2 = -18 + 18

Combine like terms: 2 + 18 = 20
20 + 23x + 6x2 = -18 + 18

Combine like terms: -18 + 18 = 0
20 + 23x + 6x2 = 0

Factor a trinomial.
(5 + 2x)(4 + 3x) = 0

Subproblem 1

Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5

Subproblem 2

Set the factor '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333

Solution

x = {-2.5, -1.333333333}

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