9x(x+1)=70

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Solution for 9x(x+1)=70 equation: 


Simplifying
9x(x + 1) = 70

Reorder the terms:
9x(1 + x) = 70
(1 * 9x + x * 9x) = 70
(9x + 9x2) = 70

Solving
9x + 9x2 = 70

Solving for variable 'x'.

Reorder the terms:
-70 + 9x + 9x2 = 70 + -70

Combine like terms: 70 + -70 = 0
-70 + 9x + 9x2 = 0

Factor a trinomial.
(-10 + -3x)(7 + -3x) = 0


Subproblem 1
Set the factor '(-10 + -3x)' equal to zero and attempt to solve:

Simplifying
-10 + -3x = 0

Solving
-10 + -3x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -3x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -3x = 0 + 10
-3x = 0 + 10

Combine like terms: 0 + 10 = 10
-3x = 10

Divide each side by '-3'.
x = -3.333333333

Simplifying
x = -3.333333333

Subproblem 2
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
Solution
x = {-3.333333333, 2.333333333}

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