(x+18)(x+18)=(x+15)(x+18)

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Solution for (x+18)(x+18)=(x+15)(x+18) equation: 


Simplifying
(x + 18)(x + 18) = (x + 15)(x + 18)

Reorder the terms:
(18 + x)(x + 18) = (x + 15)(x + 18)

Reorder the terms:
(18 + x)(18 + x) = (x + 15)(x + 18)

Multiply (18 + x) * (18 + x)
(18(18 + x) + x(18 + x)) = (x + 15)(x + 18)
((18 * 18 + x * 18) + x(18 + x)) = (x + 15)(x + 18)
((324 + 18x) + x(18 + x)) = (x + 15)(x + 18)
(324 + 18x + (18 * x + x * x)) = (x + 15)(x + 18)
(324 + 18x + (18x + x2)) = (x + 15)(x + 18)

Combine like terms: 18x + 18x = 36x
(324 + 36x + x2) = (x + 15)(x + 18)

Reorder the terms:
324 + 36x + x2 = (15 + x)(x + 18)

Reorder the terms:
324 + 36x + x2 = (15 + x)(18 + x)

Multiply (15 + x) * (18 + x)
324 + 36x + x2 = (15(18 + x) + x(18 + x))
324 + 36x + x2 = ((18 * 15 + x * 15) + x(18 + x))
324 + 36x + x2 = ((270 + 15x) + x(18 + x))
324 + 36x + x2 = (270 + 15x + (18 * x + x * x))
324 + 36x + x2 = (270 + 15x + (18x + x2))

Combine like terms: 15x + 18x = 33x
324 + 36x + x2 = (270 + 33x + x2)

Add '-1x2' to each side of the equation.
324 + 36x + x2 + -1x2 = 270 + 33x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
324 + 36x + 0 = 270 + 33x + x2 + -1x2
324 + 36x = 270 + 33x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
324 + 36x = 270 + 33x + 0
324 + 36x = 270 + 33x

Solving
324 + 36x = 270 + 33x

Solving for variable 'x'.

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

Add '-33x' to each side of the equation.
324 + 36x + -33x = 270 + 33x + -33x

Combine like terms: 36x + -33x = 3x
324 + 3x = 270 + 33x + -33x

Combine like terms: 33x + -33x = 0
324 + 3x = 270 + 0
324 + 3x = 270

Add '-324' to each side of the equation.
324 + -324 + 3x = 270 + -324

Combine like terms: 324 + -324 = 0
0 + 3x = 270 + -324
3x = 270 + -324

Combine like terms: 270 + -324 = -54
3x = -54

Divide each side by '3'.
x = -18

Simplifying
x = -18

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