9x^2+27x=-14

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Solution for 9x^2+27x=-14 equation:


Simplifying
9x2 + 27x = -14

Reorder the terms:
27x + 9x2 = -14

Solving
27x + 9x2 = -14

Solving for variable 'x'.

Reorder the terms:
14 + 27x + 9x2 = -14 + 14

Combine like terms: -14 + 14 = 0
14 + 27x + 9x2 = 0

Factor a trinomial.
(7 + 3x)(2 + 3x) = 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 + 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 = {-2.333333333, -0.6666666667}

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