3x-1=(X+5)*(X+5)

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Solution for 3x-1=(X+5)*(X+5) equation:


Simplifying
3x + -1 = (X + 5)(X + 5)

Reorder the terms:
-1 + 3x = (X + 5)(X + 5)

Reorder the terms:
-1 + 3x = (5 + X)(X + 5)

Reorder the terms:
-1 + 3x = (5 + X)(5 + X)

Multiply (5 + X) * (5 + X)
-1 + 3x = (5(5 + X) + X(5 + X))
-1 + 3x = ((5 * 5 + X * 5) + X(5 + X))
-1 + 3x = ((25 + 5X) + X(5 + X))
-1 + 3x = (25 + 5X + (5 * X + X * X))
-1 + 3x = (25 + 5X + (5X + X2))

Combine like terms: 5X + 5X = 10X
-1 + 3x = (25 + 10X + X2)

Solving
-1 + 3x = 25 + 10X + X2

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 3x = 25 + 10X + 1 + X2

Combine like terms: -1 + 1 = 0
0 + 3x = 25 + 10X + 1 + X2
3x = 25 + 10X + 1 + X2

Reorder the terms:
3x = 25 + 1 + 10X + X2

Combine like terms: 25 + 1 = 26
3x = 26 + 10X + X2

Divide each side by '3'.
x = 8.666666667 + 3.333333333X + 0.3333333333X2

Simplifying
x = 8.666666667 + 3.333333333X + 0.3333333333X2

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