(x+8)(x+6)-x^2=104

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Solution for (x+8)(x+6)-x^2=104 equation:


Simplifying
(x + 8)(x + 6) + -1x2 = 104

Reorder the terms:
(8 + x)(x + 6) + -1x2 = 104

Reorder the terms:
(8 + x)(6 + x) + -1x2 = 104

Multiply (8 + x) * (6 + x)
(8(6 + x) + x(6 + x)) + -1x2 = 104
((6 * 8 + x * 8) + x(6 + x)) + -1x2 = 104
((48 + 8x) + x(6 + x)) + -1x2 = 104
(48 + 8x + (6 * x + x * x)) + -1x2 = 104
(48 + 8x + (6x + x2)) + -1x2 = 104

Combine like terms: 8x + 6x = 14x
(48 + 14x + x2) + -1x2 = 104

Combine like terms: x2 + -1x2 = 0
48 + 14x + 0 = 104
48 + 14x = 104

Solving
48 + 14x = 104

Solving for variable 'x'.

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

Add '-48' to each side of the equation.
48 + -48 + 14x = 104 + -48

Combine like terms: 48 + -48 = 0
0 + 14x = 104 + -48
14x = 104 + -48

Combine like terms: 104 + -48 = 56
14x = 56

Divide each side by '14'.
x = 4

Simplifying
x = 4

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