3-2x(5-2x)=4x+x-30

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Solution for 3-2x(5-2x)=4x+x-30 equation: 


Simplifying
3 + -2x(5 + -2x) = 4x + x + -30
3 + (5 * -2x + -2x * -2x) = 4x + x + -30
3 + (-10x + 4x2) = 4x + x + -30

Reorder the terms:
3 + -10x + 4x2 = -30 + 4x + x

Combine like terms: 4x + x = 5x
3 + -10x + 4x2 = -30 + 5x

Solving
3 + -10x + 4x2 = -30 + 5x

Solving for variable 'x'.

Reorder the terms:
3 + 30 + -10x + -5x + 4x2 = -30 + 5x + 30 + -5x

Combine like terms: 3 + 30 = 33
33 + -10x + -5x + 4x2 = -30 + 5x + 30 + -5x

Combine like terms: -10x + -5x = -15x
33 + -15x + 4x2 = -30 + 5x + 30 + -5x

Reorder the terms:
33 + -15x + 4x2 = -30 + 30 + 5x + -5x

Combine like terms: -30 + 30 = 0
33 + -15x + 4x2 = 0 + 5x + -5x
33 + -15x + 4x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
33 + -15x + 4x2 = 0

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

Divide each side by '4'.
8.25 + -3.75x + x2 = 0

Move the constant term to the right:

Add '-8.25' to each side of the equation.
8.25 + -3.75x + -8.25 + x2 = 0 + -8.25

Reorder the terms:
8.25 + -8.25 + -3.75x + x2 = 0 + -8.25

Combine like terms: 8.25 + -8.25 = 0.00
0.00 + -3.75x + x2 = 0 + -8.25
-3.75x + x2 = 0 + -8.25

Combine like terms: 0 + -8.25 = -8.25
-3.75x + x2 = -8.25

The x term is -3.75x.  Take half its coefficient (-1.875).
Square it (3.515625) and add it to both sides.

Add '3.515625' to each side of the equation.
-3.75x + 3.515625 + x2 = -8.25 + 3.515625

Reorder the terms:
3.515625 + -3.75x + x2 = -8.25 + 3.515625

Combine like terms: -8.25 + 3.515625 = -4.734375
3.515625 + -3.75x + x2 = -4.734375

Factor a perfect square on the left side:
(x + -1.875)(x + -1.875) = -4.734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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