(3x+5)*(3x+5)=25

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Solution for (3x+5)*(3x+5)=25 equation: 


Simplifying
(3x + 5)(3x + 5) = 25

Reorder the terms:
(5 + 3x)(3x + 5) = 25

Reorder the terms:
(5 + 3x)(5 + 3x) = 25

Multiply (5 + 3x) * (5 + 3x)
(5(5 + 3x) + 3x * (5 + 3x)) = 25
((5 * 5 + 3x * 5) + 3x * (5 + 3x)) = 25
((25 + 15x) + 3x * (5 + 3x)) = 25
(25 + 15x + (5 * 3x + 3x * 3x)) = 25
(25 + 15x + (15x + 9x2)) = 25

Combine like terms: 15x + 15x = 30x
(25 + 30x + 9x2) = 25

Add '-25' to each side of the equation.
25 + 30x + -25 + 9x2 = 25 + -25

Reorder the terms:
25 + -25 + 30x + 9x2 = 25 + -25

Combine like terms: 25 + -25 = 0
0 + 30x + 9x2 = 25 + -25
30x + 9x2 = 25 + -25

Combine like terms: 25 + -25 = 0
30x + 9x2 = 0

Solving
30x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(10 + 3x) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
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
Solution
x = {0, -3.333333333}

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