9x^2+6x+18=21

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Solution for 9x^2+6x+18=21 equation:


Simplifying
9x2 + 6x + 18 = 21

Reorder the terms:
18 + 6x + 9x2 = 21

Solving
18 + 6x + 9x2 = 21

Solving for variable 'x'.

Reorder the terms:
18 + -21 + 6x + 9x2 = 21 + -21

Combine like terms: 18 + -21 = -3
-3 + 6x + 9x2 = 21 + -21

Combine like terms: 21 + -21 = 0
-3 + 6x + 9x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + 2x + 3x2) = 0

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

Ignore the factor 3.

Subproblem 1

Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 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 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1

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 = {-1, 0.3333333333}

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