(x+3)(x+3)=(x+5)(x+5)

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


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

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

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

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

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

Reorder the terms:
9 + 6x + x2 = (5 + x)(x + 5)

Reorder the terms:
9 + 6x + x2 = (5 + x)(5 + x)

Multiply (5 + x) * (5 + x)
9 + 6x + x2 = (5(5 + x) + x(5 + x))
9 + 6x + x2 = ((5 * 5 + x * 5) + x(5 + x))
9 + 6x + x2 = ((25 + 5x) + x(5 + x))
9 + 6x + x2 = (25 + 5x + (5 * x + x * x))
9 + 6x + x2 = (25 + 5x + (5x + x2))

Combine like terms: 5x + 5x = 10x
9 + 6x + x2 = (25 + 10x + x2)

Add '-1x2' to each side of the equation.
9 + 6x + x2 + -1x2 = 25 + 10x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9 + 6x + 0 = 25 + 10x + x2 + -1x2
9 + 6x = 25 + 10x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9 + 6x = 25 + 10x + 0
9 + 6x = 25 + 10x

Solving
9 + 6x = 25 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
9 + 6x + -10x = 25 + 10x + -10x

Combine like terms: 6x + -10x = -4x
9 + -4x = 25 + 10x + -10x

Combine like terms: 10x + -10x = 0
9 + -4x = 25 + 0
9 + -4x = 25

Add '-9' to each side of the equation.
9 + -9 + -4x = 25 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = 25 + -9
-4x = 25 + -9

Combine like terms: 25 + -9 = 16
-4x = 16

Divide each side by '-4'.
x = -4

Simplifying
x = -4

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