-5x(4x-1)+2(3x-4)=29

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Solution for -5x(4x-1)+2(3x-4)=29 equation: 


Simplifying
-5x(4x + -1) + 2(3x + -4) = 29

Reorder the terms:
-5x(-1 + 4x) + 2(3x + -4) = 29
(-1 * -5x + 4x * -5x) + 2(3x + -4) = 29
(5x + -20x2) + 2(3x + -4) = 29

Reorder the terms:
5x + -20x2 + 2(-4 + 3x) = 29
5x + -20x2 + (-4 * 2 + 3x * 2) = 29
5x + -20x2 + (-8 + 6x) = 29

Reorder the terms:
-8 + 5x + 6x + -20x2 = 29

Combine like terms: 5x + 6x = 11x
-8 + 11x + -20x2 = 29

Solving
-8 + 11x + -20x2 = 29

Solving for variable 'x'.

Reorder the terms:
-8 + -29 + 11x + -20x2 = 29 + -29

Combine like terms: -8 + -29 = -37
-37 + 11x + -20x2 = 29 + -29

Combine like terms: 29 + -29 = 0
-37 + 11x + -20x2 = 0

Begin completing the square.  Divide all terms by
-20 the coefficient of the squared term: 

Divide each side by '-20'.
1.85 + -0.55x + x2 = 0.0

Move the constant term to the right:

Add '-1.85' to each side of the equation.
1.85 + -0.55x + -1.85 + x2 = 0.0 + -1.85

Reorder the terms:
1.85 + -1.85 + -0.55x + x2 = 0.0 + -1.85

Combine like terms: 1.85 + -1.85 = 0.00
0.00 + -0.55x + x2 = 0.0 + -1.85
-0.55x + x2 = 0.0 + -1.85

Combine like terms: 0.0 + -1.85 = -1.85
-0.55x + x2 = -1.85

The x term is -0.55x.  Take half its coefficient (-0.275).
Square it (0.075625) and add it to both sides.

Add '0.075625' to each side of the equation.
-0.55x + 0.075625 + x2 = -1.85 + 0.075625

Reorder the terms:
0.075625 + -0.55x + x2 = -1.85 + 0.075625

Combine like terms: -1.85 + 0.075625 = -1.774375
0.075625 + -0.55x + x2 = -1.774375

Factor a perfect square on the left side:
(x + -0.275)(x + -0.275) = -1.774375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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