=-4x^2+5x-12

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Solution for =-4x^2+5x-12 equation: 


Simplifying
0 = -4x2 + 5x + -12

Reorder the terms:
0 = -12 + 5x + -4x2

Solving
0 = -12 + 5x + -4x2

Solving for variable 'x'.

Combine like terms: 0 + 12 = 12
12 + -5x + 4x2 = -12 + 5x + -4x2 + 12 + -5x + 4x2

Reorder the terms:
12 + -5x + 4x2 = -12 + 12 + 5x + -5x + -4x2 + 4x2

Combine like terms: -12 + 12 = 0
12 + -5x + 4x2 = 0 + 5x + -5x + -4x2 + 4x2
12 + -5x + 4x2 = 5x + -5x + -4x2 + 4x2

Combine like terms: 5x + -5x = 0
12 + -5x + 4x2 = 0 + -4x2 + 4x2
12 + -5x + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
12 + -5x + 4x2 = 0

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

Divide each side by '4'.
3 + -1.25x + x2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -1.25x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + -1.25x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1.25x + x2 = 0 + -3
-1.25x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-1.25x + x2 = -3

The x term is -1.25x.  Take half its coefficient (-0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
-1.25x + 0.390625 + x2 = -3 + 0.390625

Reorder the terms:
0.390625 + -1.25x + x2 = -3 + 0.390625

Combine like terms: -3 + 0.390625 = -2.609375
0.390625 + -1.25x + x2 = -2.609375

Factor a perfect square on the left side:
(x + -0.625)(x + -0.625) = -2.609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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