(x-5)(x+3)=-20

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Solution for (x-5)(x+3)=-20 equation:


Simplifying
(x + -5)(x + 3) = -20

Reorder the terms:
(-5 + x)(x + 3) = -20

Reorder the terms:
(-5 + x)(3 + x) = -20

Multiply (-5 + x) * (3 + x)
(-5(3 + x) + x(3 + x)) = -20
((3 * -5 + x * -5) + x(3 + x)) = -20
((-15 + -5x) + x(3 + x)) = -20
(-15 + -5x + (3 * x + x * x)) = -20
(-15 + -5x + (3x + x2)) = -20

Combine like terms: -5x + 3x = -2x
(-15 + -2x + x2) = -20

Solving
-15 + -2x + x2 = -20

Solving for variable 'x'.

Reorder the terms:
-15 + 20 + -2x + x2 = -20 + 20

Combine like terms: -15 + 20 = 5
5 + -2x + x2 = -20 + 20

Combine like terms: -20 + 20 = 0
5 + -2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -2x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + -2x + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x + x2 = 0 + -5
-2x + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-2x + x2 = -5

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -5 + 1

Reorder the terms:
1 + -2x + x2 = -5 + 1

Combine like terms: -5 + 1 = -4
1 + -2x + x2 = -4

Factor a perfect square on the left side:
(x + -1)(x + -1) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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