(3x+10)(9x-30x+100)=

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Solution for (3x+10)(9x-30x+100)= equation: 


Simplifying
(3x + 10)(9x + -30x + 100) = 0

Reorder the terms:
(10 + 3x)(9x + -30x + 100) = 0

Reorder the terms:
(10 + 3x)(100 + 9x + -30x) = 0

Combine like terms: 9x + -30x = -21x
(10 + 3x)(100 + -21x) = 0

Multiply (10 + 3x) * (100 + -21x)
(10(100 + -21x) + 3x * (100 + -21x)) = 0
((100 * 10 + -21x * 10) + 3x * (100 + -21x)) = 0
((1000 + -210x) + 3x * (100 + -21x)) = 0
(1000 + -210x + (100 * 3x + -21x * 3x)) = 0
(1000 + -210x + (300x + -63x2)) = 0

Combine like terms: -210x + 300x = 90x
(1000 + 90x + -63x2) = 0

Solving
1000 + 90x + -63x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(100 + -21x)(10 + 3x) = 0


Subproblem 1
Set the factor '(100 + -21x)' equal to zero and attempt to solve:

Simplifying
100 + -21x = 0

Solving
100 + -21x = 0

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

Add '-100' to each side of the equation.
100 + -100 + -21x = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -21x = 0 + -100
-21x = 0 + -100

Combine like terms: 0 + -100 = -100
-21x = -100

Divide each side by '-21'.
x = 4.761904762

Simplifying
x = 4.761904762

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 = {4.761904762, -3.333333333}

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