(x+8)(x-5)=-30

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Solution for (x+8)(x-5)=-30 equation: 


Simplifying
(x + 8)(x + -5) = -30

Reorder the terms:
(8 + x)(x + -5) = -30

Reorder the terms:
(8 + x)(-5 + x) = -30

Multiply (8 + x) * (-5 + x)
(8(-5 + x) + x(-5 + x)) = -30
((-5 * 8 + x * 8) + x(-5 + x)) = -30
((-40 + 8x) + x(-5 + x)) = -30
(-40 + 8x + (-5 * x + x * x)) = -30
(-40 + 8x + (-5x + x2)) = -30

Combine like terms: 8x + -5x = 3x
(-40 + 3x + x2) = -30

Solving
-40 + 3x + x2 = -30

Solving for variable 'x'.

Reorder the terms:
-40 + 30 + 3x + x2 = -30 + 30

Combine like terms: -40 + 30 = -10
-10 + 3x + x2 = -30 + 30

Combine like terms: -30 + 30 = 0
-10 + 3x + x2 = 0

Factor a trinomial.
(-5 + -1x)(2 + -1x) = 0


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

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 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 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-5, 2}

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