X+(2x+20)2(2x+20)=655

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Solution for X+(2x+20)2(2x+20)=655 equation: 


Simplifying
X + (2x + 20) * 2(2x + 20) = 655

Reorder the terms:
X + (20 + 2x) * 2(2x + 20) = 655

Reorder the terms:
X + (20 + 2x) * 2(20 + 2x) = 655

Reorder the terms for easier multiplication:
X + 2(20 + 2x)(20 + 2x) = 655

Multiply (20 + 2x) * (20 + 2x)
X + 2(20(20 + 2x) + 2x * (20 + 2x)) = 655
X + 2((20 * 20 + 2x * 20) + 2x * (20 + 2x)) = 655
X + 2((400 + 40x) + 2x * (20 + 2x)) = 655
X + 2(400 + 40x + (20 * 2x + 2x * 2x)) = 655
X + 2(400 + 40x + (40x + 4x2)) = 655

Combine like terms: 40x + 40x = 80x
X + 2(400 + 80x + 4x2) = 655
X + (400 * 2 + 80x * 2 + 4x2 * 2) = 655
X + (800 + 160x + 8x2) = 655

Reorder the terms:
800 + X + 160x + 8x2 = 655

Solving
800 + X + 160x + 8x2 = 655

Solving for variable 'X'.

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

Add '-800' to each side of the equation.
800 + X + 160x + -800 + 8x2 = 655 + -800

Reorder the terms:
800 + -800 + X + 160x + 8x2 = 655 + -800

Combine like terms: 800 + -800 = 0
0 + X + 160x + 8x2 = 655 + -800
X + 160x + 8x2 = 655 + -800

Combine like terms: 655 + -800 = -145
X + 160x + 8x2 = -145

Add '-160x' to each side of the equation.
X + 160x + -160x + 8x2 = -145 + -160x

Combine like terms: 160x + -160x = 0
X + 0 + 8x2 = -145 + -160x
X + 8x2 = -145 + -160x

Add '-8x2' to each side of the equation.
X + 8x2 + -8x2 = -145 + -160x + -8x2

Combine like terms: 8x2 + -8x2 = 0
X + 0 = -145 + -160x + -8x2
X = -145 + -160x + -8x2

Simplifying
X = -145 + -160x + -8x2

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