0=9x^2+109x+246

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Solution for 0=9x^2+109x+246 equation:


Simplifying
0 = 9x2 + 109x + 246

Reorder the terms:
0 = 246 + 109x + 9x2

Solving
0 = 246 + 109x + 9x2

Solving for variable 'x'.

Combine like terms: 0 + -246 = -246
-246 + -109x + -9x2 = 246 + 109x + 9x2 + -246 + -109x + -9x2

Reorder the terms:
-246 + -109x + -9x2 = 246 + -246 + 109x + -109x + 9x2 + -9x2

Combine like terms: 246 + -246 = 0
-246 + -109x + -9x2 = 0 + 109x + -109x + 9x2 + -9x2
-246 + -109x + -9x2 = 109x + -109x + 9x2 + -9x2

Combine like terms: 109x + -109x = 0
-246 + -109x + -9x2 = 0 + 9x2 + -9x2
-246 + -109x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-246 + -109x + -9x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(246 + 109x + 9x2) = 0

Factor a trinomial.
-1((82 + 9x)(3 + x)) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(82 + 9x)' equal to zero and attempt to solve: Simplifying 82 + 9x = 0 Solving 82 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-82' to each side of the equation. 82 + -82 + 9x = 0 + -82 Combine like terms: 82 + -82 = 0 0 + 9x = 0 + -82 9x = 0 + -82 Combine like terms: 0 + -82 = -82 9x = -82 Divide each side by '9'. x = -9.111111111 Simplifying x = -9.111111111

Subproblem 2

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

Solution

x = {-9.111111111, -3}

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