9x^2+6x+11=10

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Solution for 9x^2+6x+11=10 equation:


Simplifying
9x2 + 6x + 11 = 10

Reorder the terms:
11 + 6x + 9x2 = 10

Solving
11 + 6x + 9x2 = 10

Solving for variable 'x'.

Reorder the terms:
11 + -10 + 6x + 9x2 = 10 + -10

Combine like terms: 11 + -10 = 1
1 + 6x + 9x2 = 10 + -10

Combine like terms: 10 + -10 = 0
1 + 6x + 9x2 = 0

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

Subproblem 1

Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333

Subproblem 2

Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333

Solution

x = {-0.3333333333, -0.3333333333}

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