(x-5)(x+4)=-x+16

Solution for (x-5)(x+4)=-x+16 equation:

Simplifying
(x + -5)(x + 4) = -1x + 16

Reorder the terms:
(-5 + x)(x + 4) = -1x + 16

Reorder the terms:
(-5 + x)(4 + x) = -1x + 16

Multiply (-5 + x) * (4 + x)
(-5(4 + x) + x(4 + x)) = -1x + 16
((4 * -5 + x * -5) + x(4 + x)) = -1x + 16
((-20 + -5x) + x(4 + x)) = -1x + 16
(-20 + -5x + (4 * x + x * x)) = -1x + 16
(-20 + -5x + (4x + x2)) = -1x + 16

Combine like terms: -5x + 4x = -1x
(-20 + -1x + x2) = -1x + 16

Reorder the terms:
-20 + -1x + x2 = 16 + -1x

Add 'x' to each side of the equation.
-20 + -1x + x + x2 = 16 + -1x + x

Combine like terms: -1x + x = 0
-20 + 0 + x2 = 16 + -1x + x
-20 + x2 = 16 + -1x + x

Combine like terms: -1x + x = 0
-20 + x2 = 16 + 0
-20 + x2 = 16

Solving
-20 + x2 = 16

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + x2 = 16 + 20

Combine like terms: -20 + 20 = 0
0 + x2 = 16 + 20
x2 = 16 + 20

Combine like terms: 16 + 20 = 36
x2 = 36

Simplifying
x2 = 36

Take the square root of each side:
x = {-6, 6}