9x(x+1)=40

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Solution for 9x(x+1)=40 equation: 


Simplifying
9x(x + 1) = 40

Reorder the terms:
9x(1 + x) = 40
(1 * 9x + x * 9x) = 40
(9x + 9x2) = 40

Solving
9x + 9x2 = 40

Solving for variable 'x'.

Reorder the terms:
-40 + 9x + 9x2 = 40 + -40

Combine like terms: 40 + -40 = 0
-40 + 9x + 9x2 = 0

Factor a trinomial.
(-8 + -3x)(5 + -3x) = 0


Subproblem 1
Set the factor '(-8 + -3x)' equal to zero and attempt to solve:

Simplifying
-8 + -3x = 0

Solving
-8 + -3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + -3x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3x = 0 + 8
-3x = 0 + 8

Combine like terms: 0 + 8 = 8
-3x = 8

Divide each side by '-3'.
x = -2.666666667

Simplifying
x = -2.666666667

Subproblem 2
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667
Solution
x = {-2.666666667, 1.666666667}

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