2x^2-3x=-12

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Solution for 2x^2-3x=-12 equation:


Simplifying
2x2 + -3x = -12

Reorder the terms:
-3x + 2x2 = -12

Solving
-3x + 2x2 = -12

Solving for variable 'x'.

Reorder the terms:
12 + -3x + 2x2 = -12 + 12

Combine like terms: -12 + 12 = 0
12 + -3x + 2x2 = 0

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

Divide each side by '2'.
6 + -1.5x + x2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -1.5x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + -1.5x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1.5x + x2 = 0 + -6
-1.5x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-1.5x + x2 = -6

The x term is -1.5x.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5x + 0.5625 + x2 = -6 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = -6 + 0.5625

Combine like terms: -6 + 0.5625 = -5.4375
0.5625 + -1.5x + x2 = -5.4375

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = -5.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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