x+(5x+2)2=25(1+x)2

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Solution for x+(5x+2)2=25(1+x)2 equation:


Simplifying
x + (5x + 2) * 2 = 25(1 + x) * 2

Reorder the terms:
x + (2 + 5x) * 2 = 25(1 + x) * 2

Reorder the terms for easier multiplication:
x + 2(2 + 5x) = 25(1 + x) * 2
x + (2 * 2 + 5x * 2) = 25(1 + x) * 2
x + (4 + 10x) = 25(1 + x) * 2

Reorder the terms:
4 + x + 10x = 25(1 + x) * 2

Combine like terms: x + 10x = 11x
4 + 11x = 25(1 + x) * 2

Reorder the terms for easier multiplication:
4 + 11x = 25 * 2(1 + x)

Multiply 25 * 2
4 + 11x = 50(1 + x)
4 + 11x = (1 * 50 + x * 50)
4 + 11x = (50 + 50x)

Solving
4 + 11x = 50 + 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.
4 + 11x + -50x = 50 + 50x + -50x

Combine like terms: 11x + -50x = -39x
4 + -39x = 50 + 50x + -50x

Combine like terms: 50x + -50x = 0
4 + -39x = 50 + 0
4 + -39x = 50

Add '-4' to each side of the equation.
4 + -4 + -39x = 50 + -4

Combine like terms: 4 + -4 = 0
0 + -39x = 50 + -4
-39x = 50 + -4

Combine like terms: 50 + -4 = 46
-39x = 46

Divide each side by '-39'.
x = -1.179487179

Simplifying
x = -1.179487179

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