20x+(4x-3)(2x-3)=

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Solution for 20x+(4x-3)(2x-3)= equation:


Simplifying
20x + (4x + -3)(2x + -3) = 0

Reorder the terms:
20x + (-3 + 4x)(2x + -3) = 0

Reorder the terms:
20x + (-3 + 4x)(-3 + 2x) = 0

Multiply (-3 + 4x) * (-3 + 2x)
20x + (-3(-3 + 2x) + 4x * (-3 + 2x)) = 0
20x + ((-3 * -3 + 2x * -3) + 4x * (-3 + 2x)) = 0
20x + ((9 + -6x) + 4x * (-3 + 2x)) = 0
20x + (9 + -6x + (-3 * 4x + 2x * 4x)) = 0
20x + (9 + -6x + (-12x + 8x2)) = 0

Combine like terms: -6x + -12x = -18x
20x + (9 + -18x + 8x2) = 0

Reorder the terms:
9 + 20x + -18x + 8x2 = 0

Combine like terms: 20x + -18x = 2x
9 + 2x + 8x2 = 0

Solving
9 + 2x + 8x2 = 0

Solving for variable 'x'.

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

Divide each side by '8'.
1.125 + 0.25x + x2 = 0

Move the constant term to the right:

Add '-1.125' to each side of the equation.
1.125 + 0.25x + -1.125 + x2 = 0 + -1.125

Reorder the terms:
1.125 + -1.125 + 0.25x + x2 = 0 + -1.125

Combine like terms: 1.125 + -1.125 = 0.000
0.000 + 0.25x + x2 = 0 + -1.125
0.25x + x2 = 0 + -1.125

Combine like terms: 0 + -1.125 = -1.125
0.25x + x2 = -1.125

The x term is 0.25x.  Take half its coefficient (0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
0.25x + 0.015625 + x2 = -1.125 + 0.015625

Reorder the terms:
0.015625 + 0.25x + x2 = -1.125 + 0.015625

Combine like terms: -1.125 + 0.015625 = -1.109375
0.015625 + 0.25x + x2 = -1.109375

Factor a perfect square on the left side:
(x + 0.125)(x + 0.125) = -1.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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