(5x+24)(4x+37)=0

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Solution for (5x+24)(4x+37)=0 equation: 


Simplifying
(5x + 24)(4x + 37) = 0

Reorder the terms:
(24 + 5x)(4x + 37) = 0

Reorder the terms:
(24 + 5x)(37 + 4x) = 0

Multiply (24 + 5x) * (37 + 4x)
(24(37 + 4x) + 5x * (37 + 4x)) = 0
((37 * 24 + 4x * 24) + 5x * (37 + 4x)) = 0
((888 + 96x) + 5x * (37 + 4x)) = 0
(888 + 96x + (37 * 5x + 4x * 5x)) = 0
(888 + 96x + (185x + 20x2)) = 0

Combine like terms: 96x + 185x = 281x
(888 + 281x + 20x2) = 0

Solving
888 + 281x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(37 + 4x)(24 + 5x) = 0


Subproblem 1
Set the factor '(37 + 4x)' equal to zero and attempt to solve:

Simplifying
37 + 4x = 0

Solving
37 + 4x = 0

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

Add '-37' to each side of the equation.
37 + -37 + 4x = 0 + -37

Combine like terms: 37 + -37 = 0
0 + 4x = 0 + -37
4x = 0 + -37

Combine like terms: 0 + -37 = -37
4x = -37

Divide each side by '4'.
x = -9.25

Simplifying
x = -9.25

Subproblem 2
Set the factor '(24 + 5x)' equal to zero and attempt to solve:

Simplifying
24 + 5x = 0

Solving
24 + 5x = 0

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

Add '-24' to each side of the equation.
24 + -24 + 5x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + 5x = 0 + -24
5x = 0 + -24

Combine like terms: 0 + -24 = -24
5x = -24

Divide each side by '5'.
x = -4.8

Simplifying
x = -4.8
Solution
x = {-9.25, -4.8}

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