(x+6)(x+8)-(x+1)(x+4)=

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Solution for (x+6)(x+8)-(x+1)(x+4)= equation: 


Simplifying
(x + 6)(x + 8) + -1(x + 1)(x + 4) = 0

Reorder the terms:
(6 + x)(x + 8) + -1(x + 1)(x + 4) = 0

Reorder the terms:
(6 + x)(8 + x) + -1(x + 1)(x + 4) = 0

Multiply (6 + x) * (8 + x)
(6(8 + x) + x(8 + x)) + -1(x + 1)(x + 4) = 0
((8 * 6 + x * 6) + x(8 + x)) + -1(x + 1)(x + 4) = 0
((48 + 6x) + x(8 + x)) + -1(x + 1)(x + 4) = 0
(48 + 6x + (8 * x + x * x)) + -1(x + 1)(x + 4) = 0
(48 + 6x + (8x + x2)) + -1(x + 1)(x + 4) = 0

Combine like terms: 6x + 8x = 14x
(48 + 14x + x2) + -1(x + 1)(x + 4) = 0

Reorder the terms:
48 + 14x + x2 + -1(1 + x)(x + 4) = 0

Reorder the terms:
48 + 14x + x2 + -1(1 + x)(4 + x) = 0

Multiply (1 + x) * (4 + x)
48 + 14x + x2 + -1(1(4 + x) + x(4 + x)) = 0
48 + 14x + x2 + -1((4 * 1 + x * 1) + x(4 + x)) = 0
48 + 14x + x2 + -1((4 + 1x) + x(4 + x)) = 0
48 + 14x + x2 + -1(4 + 1x + (4 * x + x * x)) = 0
48 + 14x + x2 + -1(4 + 1x + (4x + x2)) = 0

Combine like terms: 1x + 4x = 5x
48 + 14x + x2 + -1(4 + 5x + x2) = 0
48 + 14x + x2 + (4 * -1 + 5x * -1 + x2 * -1) = 0
48 + 14x + x2 + (-4 + -5x + -1x2) = 0

Reorder the terms:
48 + -4 + 14x + -5x + x2 + -1x2 = 0

Combine like terms: 48 + -4 = 44
44 + 14x + -5x + x2 + -1x2 = 0

Combine like terms: 14x + -5x = 9x
44 + 9x + x2 + -1x2 = 0

Combine like terms: x2 + -1x2 = 0
44 + 9x + 0 = 0
44 + 9x = 0

Solving
44 + 9x = 0

Solving for variable 'x'.

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

Add '-44' to each side of the equation.
44 + -44 + 9x = 0 + -44

Combine like terms: 44 + -44 = 0
0 + 9x = 0 + -44
9x = 0 + -44

Combine like terms: 0 + -44 = -44
9x = -44

Divide each side by '9'.
x = -4.888888889

Simplifying
x = -4.888888889

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