5x^2-9x+4=-12

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Solution for 5x^2-9x+4=-12 equation:


Simplifying
5x2 + -9x + 4 = -12

Reorder the terms:
4 + -9x + 5x2 = -12

Solving
4 + -9x + 5x2 = -12

Solving for variable 'x'.

Reorder the terms:
4 + 12 + -9x + 5x2 = -12 + 12

Combine like terms: 4 + 12 = 16
16 + -9x + 5x2 = -12 + 12

Combine like terms: -12 + 12 = 0
16 + -9x + 5x2 = 0

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

Divide each side by '5'.
3.2 + -1.8x + x2 = 0

Move the constant term to the right:

Add '-3.2' to each side of the equation.
3.2 + -1.8x + -3.2 + x2 = 0 + -3.2

Reorder the terms:
3.2 + -3.2 + -1.8x + x2 = 0 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + -1.8x + x2 = 0 + -3.2
-1.8x + x2 = 0 + -3.2

Combine like terms: 0 + -3.2 = -3.2
-1.8x + x2 = -3.2

The x term is -1.8x.  Take half its coefficient (-0.9).
Square it (0.81) and add it to both sides.

Add '0.81' to each side of the equation.
-1.8x + 0.81 + x2 = -3.2 + 0.81

Reorder the terms:
0.81 + -1.8x + x2 = -3.2 + 0.81

Combine like terms: -3.2 + 0.81 = -2.39
0.81 + -1.8x + x2 = -2.39

Factor a perfect square on the left side:
(x + -0.9)(x + -0.9) = -2.39

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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