1350=(x+25+25)*(x+25)-(x+25)*(x)

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Solution for 1350=(x+25+25)*(x+25)-(x+25)*(x) equation: 


Simplifying
1350 = (x + 25 + 25)(x + 25) + -1(x + 25)(x)

Reorder the terms:
1350 = (25 + 25 + x)(x + 25) + -1(x + 25)(x)

Combine like terms: 25 + 25 = 50
1350 = (50 + x)(x + 25) + -1(x + 25)(x)

Reorder the terms:
1350 = (50 + x)(25 + x) + -1(x + 25)(x)

Multiply (50 + x) * (25 + x)
1350 = (50(25 + x) + x(25 + x)) + -1(x + 25)(x)
1350 = ((25 * 50 + x * 50) + x(25 + x)) + -1(x + 25)(x)
1350 = ((1250 + 50x) + x(25 + x)) + -1(x + 25)(x)
1350 = (1250 + 50x + (25 * x + x * x)) + -1(x + 25)(x)
1350 = (1250 + 50x + (25x + x2)) + -1(x + 25)(x)

Combine like terms: 50x + 25x = 75x
1350 = (1250 + 75x + x2) + -1(x + 25)(x)

Reorder the terms:
1350 = 1250 + 75x + x2 + -1(25 + x)(x)

Reorder the terms for easier multiplication:
1350 = 1250 + 75x + x2 + -1x(25 + x)
1350 = 1250 + 75x + x2 + (25 * -1x + x * -1x)
1350 = 1250 + 75x + x2 + (-25x + -1x2)

Reorder the terms:
1350 = 1250 + 75x + -25x + x2 + -1x2

Combine like terms: 75x + -25x = 50x
1350 = 1250 + 50x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
1350 = 1250 + 50x + 0
1350 = 1250 + 50x

Solving
1350 = 1250 + 50x

Solving for variable 'x'.

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

Add '-50x' to each side of the equation.
1350 + -50x = 1250 + 50x + -50x

Combine like terms: 50x + -50x = 0
1350 + -50x = 1250 + 0
1350 + -50x = 1250

Add '-1350' to each side of the equation.
1350 + -1350 + -50x = 1250 + -1350

Combine like terms: 1350 + -1350 = 0
0 + -50x = 1250 + -1350
-50x = 1250 + -1350

Combine like terms: 1250 + -1350 = -100
-50x = -100

Divide each side by '-50'.
x = 2

Simplifying
x = 2

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