3x(3x+5)=50

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Solution for 3x(3x+5)=50 equation:


Simplifying
3x(3x + 5) = 50

Reorder the terms:
3x(5 + 3x) = 50
(5 * 3x + 3x * 3x) = 50
(15x + 9x2) = 50

Solving
15x + 9x2 = 50

Solving for variable 'x'.

Reorder the terms:
-50 + 15x + 9x2 = 50 + -50

Combine like terms: 50 + -50 = 0
-50 + 15x + 9x2 = 0

Factor a trinomial.
(-10 + -3x)(5 + -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 '(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 = {-3.333333333, 1.666666667}

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