(4x+20)(6x+10)=0

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Solution for (4x+20)(6x+10)=0 equation:


Simplifying
(4x + 20)(6x + 10) = 0

Reorder the terms:
(20 + 4x)(6x + 10) = 0

Reorder the terms:
(20 + 4x)(10 + 6x) = 0

Multiply (20 + 4x) * (10 + 6x)
(20(10 + 6x) + 4x * (10 + 6x)) = 0
((10 * 20 + 6x * 20) + 4x * (10 + 6x)) = 0
((200 + 120x) + 4x * (10 + 6x)) = 0
(200 + 120x + (10 * 4x + 6x * 4x)) = 0
(200 + 120x + (40x + 24x2)) = 0

Combine like terms: 120x + 40x = 160x
(200 + 160x + 24x2) = 0

Solving
200 + 160x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(25 + 20x + 3x2) = 0

Factor a trinomial.
8((5 + x)(5 + 3x)) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 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 + x = 0 + -5

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

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

Simplifying
x = -5

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 = {-5, -1.666666667}

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