(X+7)(x-7)=x+3x-16

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Solution for (X+7)(x-7)=x+3x-16 equation: 


Simplifying
(X + 7)(x + -7) = x + 3x + -16

Reorder the terms:
(7 + X)(x + -7) = x + 3x + -16

Reorder the terms:
(7 + X)(-7 + x) = x + 3x + -16

Multiply (7 + X) * (-7 + x)
(7(-7 + x) + X(-7 + x)) = x + 3x + -16
((-7 * 7 + x * 7) + X(-7 + x)) = x + 3x + -16
((-49 + 7x) + X(-7 + x)) = x + 3x + -16
(-49 + 7x + (-7 * X + x * X)) = x + 3x + -16
(-49 + 7x + (-7X + xX)) = x + 3x + -16

Reorder the terms:
(-49 + -7X + 7x + xX) = x + 3x + -16
(-49 + -7X + 7x + xX) = x + 3x + -16

Reorder the terms:
-49 + -7X + 7x + xX = -16 + x + 3x

Combine like terms: x + 3x = 4x
-49 + -7X + 7x + xX = -16 + 4x

Solving
-49 + -7X + 7x + xX = -16 + 4x

Solving for variable 'X'.

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

Add '49' to each side of the equation.
-49 + -7X + 7x + 49 + xX = -16 + 49 + 4x

Reorder the terms:
-49 + 49 + -7X + 7x + xX = -16 + 49 + 4x

Combine like terms: -49 + 49 = 0
0 + -7X + 7x + xX = -16 + 49 + 4x
-7X + 7x + xX = -16 + 49 + 4x

Combine like terms: -16 + 49 = 33
-7X + 7x + xX = 33 + 4x

Add '-7x' to each side of the equation.
-7X + 7x + -7x + xX = 33 + 4x + -7x

Combine like terms: 7x + -7x = 0
-7X + 0 + xX = 33 + 4x + -7x
-7X + xX = 33 + 4x + -7x

Combine like terms: 4x + -7x = -3x
-7X + xX = 33 + -3x

Reorder the terms:
-33 + -7X + 3x + xX = 33 + -3x + -33 + 3x

Reorder the terms:
-33 + -7X + 3x + xX = 33 + -33 + -3x + 3x

Combine like terms: 33 + -33 = 0
-33 + -7X + 3x + xX = 0 + -3x + 3x
-33 + -7X + 3x + xX = -3x + 3x

Combine like terms: -3x + 3x = 0
-33 + -7X + 3x + xX = 0

The solution to this equation could not be determined.

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