(3x+10)(3x+10)=

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Solution for (3x+10)(3x+10)= equation: 


Simplifying
(3x + 10)(3x + 10) = 0

Reorder the terms:
(10 + 3x)(3x + 10) = 0

Reorder the terms:
(10 + 3x)(10 + 3x) = 0

Multiply (10 + 3x) * (10 + 3x)
(10(10 + 3x) + 3x * (10 + 3x)) = 0
((10 * 10 + 3x * 10) + 3x * (10 + 3x)) = 0
((100 + 30x) + 3x * (10 + 3x)) = 0
(100 + 30x + (10 * 3x + 3x * 3x)) = 0
(100 + 30x + (30x + 9x2)) = 0

Combine like terms: 30x + 30x = 60x
(100 + 60x + 9x2) = 0

Solving
100 + 60x + 9x2 = 0

Solving for variable 'x'.

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

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