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

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


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

Reorder the terms for easier multiplication:
3 + -10x + 4x2 = 4 * 2x + x + -30

Multiply 4 * 2
3 + -10x + 4x2 = 8x + x + -30

Reorder the terms:
3 + -10x + 4x2 = -30 + 8x + x

Combine like terms: 8x + x = 9x
3 + -10x + 4x2 = -30 + 9x

Solving
3 + -10x + 4x2 = -30 + 9x

Solving for variable 'x'.

Reorder the terms:
3 + 30 + -10x + -9x + 4x2 = -30 + 9x + 30 + -9x

Combine like terms: 3 + 30 = 33
33 + -10x + -9x + 4x2 = -30 + 9x + 30 + -9x

Combine like terms: -10x + -9x = -19x
33 + -19x + 4x2 = -30 + 9x + 30 + -9x

Reorder the terms:
33 + -19x + 4x2 = -30 + 30 + 9x + -9x

Combine like terms: -30 + 30 = 0
33 + -19x + 4x2 = 0 + 9x + -9x
33 + -19x + 4x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
33 + -19x + 4x2 = 0

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

Divide each side by '4'.
8.25 + -4.75x + x2 = 0

Move the constant term to the right:

Add '-8.25' to each side of the equation.
8.25 + -4.75x + -8.25 + x2 = 0 + -8.25

Reorder the terms:
8.25 + -8.25 + -4.75x + x2 = 0 + -8.25

Combine like terms: 8.25 + -8.25 = 0.00
0.00 + -4.75x + x2 = 0 + -8.25
-4.75x + x2 = 0 + -8.25

Combine like terms: 0 + -8.25 = -8.25
-4.75x + x2 = -8.25

The x term is -4.75x.  Take half its coefficient (-2.375).
Square it (5.640625) and add it to both sides.

Add '5.640625' to each side of the equation.
-4.75x + 5.640625 + x2 = -8.25 + 5.640625

Reorder the terms:
5.640625 + -4.75x + x2 = -8.25 + 5.640625

Combine like terms: -8.25 + 5.640625 = -2.609375
5.640625 + -4.75x + x2 = -2.609375

Factor a perfect square on the left side:
(x + -2.375)(x + -2.375) = -2.609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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