(X-8)(X+7)=

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Solution for (X-8)(X+7)= equation: 


Simplifying
(X + -8)(X + 7) = 0

Reorder the terms:
(-8 + X)(X + 7) = 0

Reorder the terms:
(-8 + X)(7 + X) = 0

Multiply (-8 + X) * (7 + X)
(-8(7 + X) + X(7 + X)) = 0
((7 * -8 + X * -8) + X(7 + X)) = 0
((-56 + -8X) + X(7 + X)) = 0
(-56 + -8X + (7 * X + X * X)) = 0
(-56 + -8X + (7X + X2)) = 0

Combine like terms: -8X + 7X = -1X
(-56 + -1X + X2) = 0

Solving
-56 + -1X + X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-7 + -1X)(8 + -1X) = 0


Subproblem 1
Set the factor '(-7 + -1X)' equal to zero and attempt to solve:

Simplifying
-7 + -1X = 0

Solving
-7 + -1X = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1X = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1X = 0 + 7
-1X = 0 + 7

Combine like terms: 0 + 7 = 7
-1X = 7

Divide each side by '-1'.
X = -7

Simplifying
X = -7

Subproblem 2
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
Solution
X = {-7, 8}

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