(10x+100)(21+15x)=

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Solution for (10x+100)(21+15x)= equation: 


Simplifying
(10x + 100)(21 + 15x) = 0

Reorder the terms:
(100 + 10x)(21 + 15x) = 0

Multiply (100 + 10x) * (21 + 15x)
(100(21 + 15x) + 10x * (21 + 15x)) = 0
((21 * 100 + 15x * 100) + 10x * (21 + 15x)) = 0
((2100 + 1500x) + 10x * (21 + 15x)) = 0
(2100 + 1500x + (21 * 10x + 15x * 10x)) = 0
(2100 + 1500x + (210x + 150x2)) = 0

Combine like terms: 1500x + 210x = 1710x
(2100 + 1710x + 150x2) = 0

Solving
2100 + 1710x + 150x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '30'.
30(70 + 57x + 5x2) = 0

Factor a trinomial.
30((10 + x)(7 + 5x)) = 0

Ignore the factor 30.

Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 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 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10

Subproblem 2
Set the factor '(7 + 5x)' equal to zero and attempt to solve:

Simplifying
7 + 5x = 0

Solving
7 + 5x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 5x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = 0 + -7
5x = 0 + -7

Combine like terms: 0 + -7 = -7
5x = -7

Divide each side by '5'.
x = -1.4

Simplifying
x = -1.4
Solution
x = {-10, -1.4}

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