3x(3x+2)=35

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Solution for 3x(3x+2)=35 equation: 


Simplifying
3x(3x + 2) = 35

Reorder the terms:
3x(2 + 3x) = 35
(2 * 3x + 3x * 3x) = 35
(6x + 9x2) = 35

Solving
6x + 9x2 = 35

Solving for variable 'x'.

Reorder the terms:
-35 + 6x + 9x2 = 35 + -35

Combine like terms: 35 + -35 = 0
-35 + 6x + 9x2 = 0

Factor a trinomial.
(-7 + -3x)(5 + -3x) = 0


Subproblem 1
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

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 = {-2.333333333, 1.666666667}

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