(5x+2)(x+9)=-38

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Solution for (5x+2)(x+9)=-38 equation: 


Simplifying
(5x + 2)(x + 9) = -38

Reorder the terms:
(2 + 5x)(x + 9) = -38

Reorder the terms:
(2 + 5x)(9 + x) = -38

Multiply (2 + 5x) * (9 + x)
(2(9 + x) + 5x * (9 + x)) = -38
((9 * 2 + x * 2) + 5x * (9 + x)) = -38
((18 + 2x) + 5x * (9 + x)) = -38
(18 + 2x + (9 * 5x + x * 5x)) = -38
(18 + 2x + (45x + 5x2)) = -38

Combine like terms: 2x + 45x = 47x
(18 + 47x + 5x2) = -38

Solving
18 + 47x + 5x2 = -38

Solving for variable 'x'.

Reorder the terms:
18 + 38 + 47x + 5x2 = -38 + 38

Combine like terms: 18 + 38 = 56
56 + 47x + 5x2 = -38 + 38

Combine like terms: -38 + 38 = 0
56 + 47x + 5x2 = 0

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


Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8

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 = {-8, -1.4}

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