-3(x+8)+2x(-4x+3)=

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Solution for -3(x+8)+2x(-4x+3)= equation:


Simplifying
-3(x + 8) + 2x(-4x + 3) = 0

Reorder the terms:
-3(8 + x) + 2x(-4x + 3) = 0
(8 * -3 + x * -3) + 2x(-4x + 3) = 0
(-24 + -3x) + 2x(-4x + 3) = 0

Reorder the terms:
-24 + -3x + 2x(3 + -4x) = 0
-24 + -3x + (3 * 2x + -4x * 2x) = 0
-24 + -3x + (6x + -8x2) = 0

Combine like terms: -3x + 6x = 3x
-24 + 3x + -8x2 = 0

Solving
-24 + 3x + -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'.
3 + -0.375x + x2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -0.375x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + -0.375x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -0.375x + x2 = 0 + -3
-0.375x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-0.375x + x2 = -3

The x term is -0.375x.  Take half its coefficient (-0.1875).
Square it (0.03515625) and add it to both sides.

Add '0.03515625' to each side of the equation.
-0.375x + 0.03515625 + x2 = -3 + 0.03515625

Reorder the terms:
0.03515625 + -0.375x + x2 = -3 + 0.03515625

Combine like terms: -3 + 0.03515625 = -2.96484375
0.03515625 + -0.375x + x2 = -2.96484375

Factor a perfect square on the left side:
(x + -0.1875)(x + -0.1875) = -2.96484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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