(x+6)(x+3)=(x+5)(x+4)

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Solution for (x+6)(x+3)=(x+5)(x+4) equation: 


Simplifying
(x + 6)(x + 3) = (x + 5)(x + 4)

Reorder the terms:
(6 + x)(x + 3) = (x + 5)(x + 4)

Reorder the terms:
(6 + x)(3 + x) = (x + 5)(x + 4)

Multiply (6 + x) * (3 + x)
(6(3 + x) + x(3 + x)) = (x + 5)(x + 4)
((3 * 6 + x * 6) + x(3 + x)) = (x + 5)(x + 4)
((18 + 6x) + x(3 + x)) = (x + 5)(x + 4)
(18 + 6x + (3 * x + x * x)) = (x + 5)(x + 4)
(18 + 6x + (3x + x2)) = (x + 5)(x + 4)

Combine like terms: 6x + 3x = 9x
(18 + 9x + x2) = (x + 5)(x + 4)

Reorder the terms:
18 + 9x + x2 = (5 + x)(x + 4)

Reorder the terms:
18 + 9x + x2 = (5 + x)(4 + x)

Multiply (5 + x) * (4 + x)
18 + 9x + x2 = (5(4 + x) + x(4 + x))
18 + 9x + x2 = ((4 * 5 + x * 5) + x(4 + x))
18 + 9x + x2 = ((20 + 5x) + x(4 + x))
18 + 9x + x2 = (20 + 5x + (4 * x + x * x))
18 + 9x + x2 = (20 + 5x + (4x + x2))

Combine like terms: 5x + 4x = 9x
18 + 9x + x2 = (20 + 9x + x2)

Add '-9x' to each side of the equation.
18 + 9x + -9x + x2 = 20 + 9x + -9x + x2

Combine like terms: 9x + -9x = 0
18 + 0 + x2 = 20 + 9x + -9x + x2
18 + x2 = 20 + 9x + -9x + x2

Combine like terms: 9x + -9x = 0
18 + x2 = 20 + 0 + x2
18 + x2 = 20 + x2

Add '-1x2' to each side of the equation.
18 + x2 + -1x2 = 20 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
18 + 0 = 20 + x2 + -1x2
18 = 20 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
18 = 20 + 0
18 = 20

Solving
18 = 20

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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