(3x+3)(x+10)=50x+10

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Solution for (3x+3)(x+10)=50x+10 equation: 


Simplifying
(3x + 3)(x + 10) = 50x + 10

Reorder the terms:
(3 + 3x)(x + 10) = 50x + 10

Reorder the terms:
(3 + 3x)(10 + x) = 50x + 10

Multiply (3 + 3x) * (10 + x)
(3(10 + x) + 3x * (10 + x)) = 50x + 10
((10 * 3 + x * 3) + 3x * (10 + x)) = 50x + 10
((30 + 3x) + 3x * (10 + x)) = 50x + 10
(30 + 3x + (10 * 3x + x * 3x)) = 50x + 10
(30 + 3x + (30x + 3x2)) = 50x + 10

Combine like terms: 3x + 30x = 33x
(30 + 33x + 3x2) = 50x + 10

Reorder the terms:
30 + 33x + 3x2 = 10 + 50x

Solving
30 + 33x + 3x2 = 10 + 50x

Solving for variable 'x'.

Reorder the terms:
30 + -10 + 33x + -50x + 3x2 = 10 + 50x + -10 + -50x

Combine like terms: 30 + -10 = 20
20 + 33x + -50x + 3x2 = 10 + 50x + -10 + -50x

Combine like terms: 33x + -50x = -17x
20 + -17x + 3x2 = 10 + 50x + -10 + -50x

Reorder the terms:
20 + -17x + 3x2 = 10 + -10 + 50x + -50x

Combine like terms: 10 + -10 = 0
20 + -17x + 3x2 = 0 + 50x + -50x
20 + -17x + 3x2 = 50x + -50x

Combine like terms: 50x + -50x = 0
20 + -17x + 3x2 = 0

Factor a trinomial.
(5 + -3x)(4 + -1x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {1.666666667, 4}

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