1350=(x+35)(x+10)-(x+25)(x)

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Solution for 1350=(x+35)(x+10)-(x+25)(x) equation:


Simplifying
1350 = (x + 35)(x + 10) + -1(x + 25)(x)

Reorder the terms:
1350 = (35 + x)(x + 10) + -1(x + 25)(x)

Reorder the terms:
1350 = (35 + x)(10 + x) + -1(x + 25)(x)

Multiply (35 + x) * (10 + x)
1350 = (35(10 + x) + x(10 + x)) + -1(x + 25)(x)
1350 = ((10 * 35 + x * 35) + x(10 + x)) + -1(x + 25)(x)
1350 = ((350 + 35x) + x(10 + x)) + -1(x + 25)(x)
1350 = (350 + 35x + (10 * x + x * x)) + -1(x + 25)(x)
1350 = (350 + 35x + (10x + x2)) + -1(x + 25)(x)

Combine like terms: 35x + 10x = 45x
1350 = (350 + 45x + x2) + -1(x + 25)(x)

Reorder the terms:
1350 = 350 + 45x + x2 + -1(25 + x)(x)

Reorder the terms for easier multiplication:
1350 = 350 + 45x + x2 + -1x(25 + x)
1350 = 350 + 45x + x2 + (25 * -1x + x * -1x)
1350 = 350 + 45x + x2 + (-25x + -1x2)

Reorder the terms:
1350 = 350 + 45x + -25x + x2 + -1x2

Combine like terms: 45x + -25x = 20x
1350 = 350 + 20x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
1350 = 350 + 20x + 0
1350 = 350 + 20x

Solving
1350 = 350 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
1350 + -20x = 350 + 20x + -20x

Combine like terms: 20x + -20x = 0
1350 + -20x = 350 + 0
1350 + -20x = 350

Add '-1350' to each side of the equation.
1350 + -1350 + -20x = 350 + -1350

Combine like terms: 1350 + -1350 = 0
0 + -20x = 350 + -1350
-20x = 350 + -1350

Combine like terms: 350 + -1350 = -1000
-20x = -1000

Divide each side by '-20'.
x = 50

Simplifying
x = 50

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