(X+6)(x-7)=30

Solution for (X+6)(x-7)=30 equation:

Simplifying
(X + 6)(x + -7) = 30

Reorder the terms:
(6 + X)(x + -7) = 30

Reorder the terms:
(6 + X)(-7 + x) = 30

Multiply (6 + X) * (-7 + x)
(6(-7 + x) + X(-7 + x)) = 30
((-7 * 6 + x * 6) + X(-7 + x)) = 30
((-42 + 6x) + X(-7 + x)) = 30
(-42 + 6x + (-7 * X + x * X)) = 30
(-42 + 6x + (-7X + xX)) = 30

Reorder the terms:
(-42 + -7X + 6x + xX) = 30
(-42 + -7X + 6x + xX) = 30

Solving
-42 + -7X + 6x + xX = 30

Solving for variable 'X'.

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

Add '42' to each side of the equation.
-42 + -7X + 6x + 42 + xX = 30 + 42

Reorder the terms:
-42 + 42 + -7X + 6x + xX = 30 + 42

Combine like terms: -42 + 42 = 0
0 + -7X + 6x + xX = 30 + 42
-7X + 6x + xX = 30 + 42

Combine like terms: 30 + 42 = 72
-7X + 6x + xX = 72

Add '-6x' to each side of the equation.
-7X + 6x + -6x + xX = 72 + -6x

Combine like terms: 6x + -6x = 0
-7X + 0 + xX = 72 + -6x
-7X + xX = 72 + -6x

Reorder the terms:
-72 + -7X + 6x + xX = 72 + -6x + -72 + 6x

Reorder the terms:
-72 + -7X + 6x + xX = 72 + -72 + -6x + 6x

Combine like terms: 72 + -72 = 0
-72 + -7X + 6x + xX = 0 + -6x + 6x
-72 + -7X + 6x + xX = -6x + 6x

Combine like terms: -6x + 6x = 0
-72 + -7X + 6x + xX = 0

The solution to this equation could not be determined.