0=-(x+8)(x-6)

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Solution for 0=-(x+8)(x-6) equation: 


Simplifying
0 = -1(x + 8)(x + -6)

Reorder the terms:
0 = -1(8 + x)(x + -6)

Reorder the terms:
0 = -1(8 + x)(-6 + x)

Multiply (8 + x) * (-6 + x)
0 = -1(8(-6 + x) + x(-6 + x))
0 = -1((-6 * 8 + x * 8) + x(-6 + x))
0 = -1((-48 + 8x) + x(-6 + x))
0 = -1(-48 + 8x + (-6 * x + x * x))
0 = -1(-48 + 8x + (-6x + x2))

Combine like terms: 8x + -6x = 2x
0 = -1(-48 + 2x + x2)
0 = (-48 * -1 + 2x * -1 + x2 * -1)
0 = (48 + -2x + -1x2)

Solving
0 = 48 + -2x + -1x2

Solving for variable 'x'.

Combine like terms: 0 + -48 = -48
-48 + 2x + x2 = 48 + -2x + -1x2 + -48 + 2x + x2

Reorder the terms:
-48 + 2x + x2 = 48 + -48 + -2x + 2x + -1x2 + x2

Combine like terms: 48 + -48 = 0
-48 + 2x + x2 = 0 + -2x + 2x + -1x2 + x2
-48 + 2x + x2 = -2x + 2x + -1x2 + x2

Combine like terms: -2x + 2x = 0
-48 + 2x + x2 = 0 + -1x2 + x2
-48 + 2x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-48 + 2x + x2 = 0

Factor a trinomial.
(-8 + -1x)(6 + -1x) = 0


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

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 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 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-8, 6}

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