(4x+12)(10x+4)=

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Solution for (4x+12)(10x+4)= equation: 


Simplifying
(4x + 12)(10x + 4) = 0

Reorder the terms:
(12 + 4x)(10x + 4) = 0

Reorder the terms:
(12 + 4x)(4 + 10x) = 0

Multiply (12 + 4x) * (4 + 10x)
(12(4 + 10x) + 4x * (4 + 10x)) = 0
((4 * 12 + 10x * 12) + 4x * (4 + 10x)) = 0
((48 + 120x) + 4x * (4 + 10x)) = 0
(48 + 120x + (4 * 4x + 10x * 4x)) = 0
(48 + 120x + (16x + 40x2)) = 0

Combine like terms: 120x + 16x = 136x
(48 + 136x + 40x2) = 0

Solving
48 + 136x + 40x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(6 + 17x + 5x2) = 0

Factor a trinomial.
8((3 + x)(2 + 5x)) = 0

Ignore the factor 8.

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

Simplifying
3 + x = 0

Solving
3 + x = 0

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

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

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

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

Simplifying
x = -3

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

Simplifying
2 + 5x = 0

Solving
2 + 5x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 0 + -2
5x = 0 + -2

Combine like terms: 0 + -2 = -2
5x = -2

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4
Solution
x = {-3, -0.4}

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