(x+4)(x+1)=(x+3)(x+3)

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Solution for (x+4)(x+1)=(x+3)(x+3) equation: 


Simplifying
(x + 4)(x + 1) = (x + 3)(x + 3)

Reorder the terms:
(4 + x)(x + 1) = (x + 3)(x + 3)

Reorder the terms:
(4 + x)(1 + x) = (x + 3)(x + 3)

Multiply (4 + x) * (1 + x)
(4(1 + x) + x(1 + x)) = (x + 3)(x + 3)
((1 * 4 + x * 4) + x(1 + x)) = (x + 3)(x + 3)
((4 + 4x) + x(1 + x)) = (x + 3)(x + 3)
(4 + 4x + (1 * x + x * x)) = (x + 3)(x + 3)
(4 + 4x + (1x + x2)) = (x + 3)(x + 3)

Combine like terms: 4x + 1x = 5x
(4 + 5x + x2) = (x + 3)(x + 3)

Reorder the terms:
4 + 5x + x2 = (3 + x)(x + 3)

Reorder the terms:
4 + 5x + x2 = (3 + x)(3 + x)

Multiply (3 + x) * (3 + x)
4 + 5x + x2 = (3(3 + x) + x(3 + x))
4 + 5x + x2 = ((3 * 3 + x * 3) + x(3 + x))
4 + 5x + x2 = ((9 + 3x) + x(3 + x))
4 + 5x + x2 = (9 + 3x + (3 * x + x * x))
4 + 5x + x2 = (9 + 3x + (3x + x2))

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

Add '-1x2' to each side of the equation.
4 + 5x + x2 + -1x2 = 9 + 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4 + 5x + 0 = 9 + 6x + x2 + -1x2
4 + 5x = 9 + 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4 + 5x = 9 + 6x + 0
4 + 5x = 9 + 6x

Solving
4 + 5x = 9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
4 + 5x + -6x = 9 + 6x + -6x

Combine like terms: 5x + -6x = -1x
4 + -1x = 9 + 6x + -6x

Combine like terms: 6x + -6x = 0
4 + -1x = 9 + 0
4 + -1x = 9

Add '-4' to each side of the equation.
4 + -4 + -1x = 9 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 9 + -4
-1x = 9 + -4

Combine like terms: 9 + -4 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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