9x^2+6x+2=-6x-2

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Solution for 9x^2+6x+2=-6x-2 equation:


Simplifying
9x2 + 6x + 2 = -6x + -2

Reorder the terms:
2 + 6x + 9x2 = -6x + -2

Reorder the terms:
2 + 6x + 9x2 = -2 + -6x

Solving
2 + 6x + 9x2 = -2 + -6x

Solving for variable 'x'.

Reorder the terms:
2 + 2 + 6x + 6x + 9x2 = -2 + -6x + 2 + 6x

Combine like terms: 2 + 2 = 4
4 + 6x + 6x + 9x2 = -2 + -6x + 2 + 6x

Combine like terms: 6x + 6x = 12x
4 + 12x + 9x2 = -2 + -6x + 2 + 6x

Reorder the terms:
4 + 12x + 9x2 = -2 + 2 + -6x + 6x

Combine like terms: -2 + 2 = 0
4 + 12x + 9x2 = 0 + -6x + 6x
4 + 12x + 9x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
4 + 12x + 9x2 = 0

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

Subproblem 1

Set the factor '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 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 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667

Subproblem 2

Set the factor '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 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 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667

Solution

x = {-0.6666666667, -0.6666666667}

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