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

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


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

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

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

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

Combine like terms: 185x + 96x = 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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