5x+31-81=(2x-5)(2x-5)

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Solution for 5x+31-81=(2x-5)(2x-5) equation: 


Simplifying
5x + 31 + -81 = (2x + -5)(2x + -5)

Reorder the terms:
31 + -81 + 5x = (2x + -5)(2x + -5)

Combine like terms: 31 + -81 = -50
-50 + 5x = (2x + -5)(2x + -5)

Reorder the terms:
-50 + 5x = (-5 + 2x)(2x + -5)

Reorder the terms:
-50 + 5x = (-5 + 2x)(-5 + 2x)

Multiply (-5 + 2x) * (-5 + 2x)
-50 + 5x = (-5(-5 + 2x) + 2x * (-5 + 2x))
-50 + 5x = ((-5 * -5 + 2x * -5) + 2x * (-5 + 2x))
-50 + 5x = ((25 + -10x) + 2x * (-5 + 2x))
-50 + 5x = (25 + -10x + (-5 * 2x + 2x * 2x))
-50 + 5x = (25 + -10x + (-10x + 4x2))

Combine like terms: -10x + -10x = -20x
-50 + 5x = (25 + -20x + 4x2)

Solving
-50 + 5x = 25 + -20x + 4x2

Solving for variable 'x'.

Reorder the terms:
-50 + -25 + 5x + 20x + -4x2 = 25 + -20x + 4x2 + -25 + 20x + -4x2

Combine like terms: -50 + -25 = -75
-75 + 5x + 20x + -4x2 = 25 + -20x + 4x2 + -25 + 20x + -4x2

Combine like terms: 5x + 20x = 25x
-75 + 25x + -4x2 = 25 + -20x + 4x2 + -25 + 20x + -4x2

Reorder the terms:
-75 + 25x + -4x2 = 25 + -25 + -20x + 20x + 4x2 + -4x2

Combine like terms: 25 + -25 = 0
-75 + 25x + -4x2 = 0 + -20x + 20x + 4x2 + -4x2
-75 + 25x + -4x2 = -20x + 20x + 4x2 + -4x2

Combine like terms: -20x + 20x = 0
-75 + 25x + -4x2 = 0 + 4x2 + -4x2
-75 + 25x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-75 + 25x + -4x2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
18.75 + -6.25x + x2 = 0

Move the constant term to the right:

Add '-18.75' to each side of the equation.
18.75 + -6.25x + -18.75 + x2 = 0 + -18.75

Reorder the terms:
18.75 + -18.75 + -6.25x + x2 = 0 + -18.75

Combine like terms: 18.75 + -18.75 = 0.00
0.00 + -6.25x + x2 = 0 + -18.75
-6.25x + x2 = 0 + -18.75

Combine like terms: 0 + -18.75 = -18.75
-6.25x + x2 = -18.75

The x term is -6.25x.  Take half its coefficient (-3.125).
Square it (9.765625) and add it to both sides.

Add '9.765625' to each side of the equation.
-6.25x + 9.765625 + x2 = -18.75 + 9.765625

Reorder the terms:
9.765625 + -6.25x + x2 = -18.75 + 9.765625

Combine like terms: -18.75 + 9.765625 = -8.984375
9.765625 + -6.25x + x2 = -8.984375

Factor a perfect square on the left side:
(x + -3.125)(x + -3.125) = -8.984375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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