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

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


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

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

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

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

Combine like terms: 30x + 30x = 60x
(100 + 60x + 9x2) = 3(x + 10)

Reorder the terms:
100 + 60x + 9x2 = 3(10 + x)
100 + 60x + 9x2 = (10 * 3 + x * 3)
100 + 60x + 9x2 = (30 + 3x)

Solving
100 + 60x + 9x2 = 30 + 3x

Solving for variable 'x'.

Reorder the terms:
100 + -30 + 60x + -3x + 9x2 = 30 + 3x + -30 + -3x

Combine like terms: 100 + -30 = 70
70 + 60x + -3x + 9x2 = 30 + 3x + -30 + -3x

Combine like terms: 60x + -3x = 57x
70 + 57x + 9x2 = 30 + 3x + -30 + -3x

Reorder the terms:
70 + 57x + 9x2 = 30 + -30 + 3x + -3x

Combine like terms: 30 + -30 = 0
70 + 57x + 9x2 = 0 + 3x + -3x
70 + 57x + 9x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
70 + 57x + 9x2 = 0

Factor a trinomial.
(14 + 3x)(5 + 3x) = 0


Subproblem 1
Set the factor '(14 + 3x)' equal to zero and attempt to solve:

Simplifying
14 + 3x = 0

Solving
14 + 3x = 0

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

Add '-14' to each side of the equation.
14 + -14 + 3x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 3x = 0 + -14
3x = 0 + -14

Combine like terms: 0 + -14 = -14
3x = -14

Divide each side by '3'.
x = -4.666666667

Simplifying
x = -4.666666667

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 = {-4.666666667, -1.666666667}

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