1588=x^2-4x-8

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Solution for 1588=x^2-4x-8 equation: 


Simplifying
1588 = x2 + -4x + -8

Reorder the terms:
1588 = -8 + -4x + x2

Solving
1588 = -8 + -4x + x2

Solving for variable 'x'.

Combine like terms: 1588 + 8 = 1596
1596 + 4x + -1x2 = -8 + -4x + x2 + 8 + 4x + -1x2

Reorder the terms:
1596 + 4x + -1x2 = -8 + 8 + -4x + 4x + x2 + -1x2

Combine like terms: -8 + 8 = 0
1596 + 4x + -1x2 = 0 + -4x + 4x + x2 + -1x2
1596 + 4x + -1x2 = -4x + 4x + x2 + -1x2

Combine like terms: -4x + 4x = 0
1596 + 4x + -1x2 = 0 + x2 + -1x2
1596 + 4x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
1596 + 4x + -1x2 = 0

Factor a trinomial.
(42 + -1x)(38 + x) = 0


Subproblem 1
Set the factor '(42 + -1x)' equal to zero and attempt to solve:

Simplifying
42 + -1x = 0

Solving
42 + -1x = 0

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

Add '-42' to each side of the equation.
42 + -42 + -1x = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -1x = 0 + -42
-1x = 0 + -42

Combine like terms: 0 + -42 = -42
-1x = -42

Divide each side by '-1'.
x = 42

Simplifying
x = 42

Subproblem 2
Set the factor '(38 + x)' equal to zero and attempt to solve:

Simplifying
38 + x = 0

Solving
38 + x = 0

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

Add '-38' to each side of the equation.
38 + -38 + x = 0 + -38

Combine like terms: 38 + -38 = 0
0 + x = 0 + -38
x = 0 + -38

Combine like terms: 0 + -38 = -38
x = -38

Simplifying
x = -38
Solution
x = {42, -38}

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