10x^2-7x+12=0

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Solution for 10x^2-7x+12=0 equation:


Simplifying
10x2 + -7x + 12 = 0

Reorder the terms:
12 + -7x + 10x2 = 0

Solving
12 + -7x + 10x2 = 0

Solving for variable 'x'.

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

Divide each side by '10'.
1.2 + -0.7x + x2 = 0

Move the constant term to the right:

Add '-1.2' to each side of the equation.
1.2 + -0.7x + -1.2 + x2 = 0 + -1.2

Reorder the terms:
1.2 + -1.2 + -0.7x + x2 = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -0.7x + x2 = 0 + -1.2
-0.7x + x2 = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2
-0.7x + x2 = -1.2

The x term is -0.7x.  Take half its coefficient (-0.35).
Square it (0.1225) and add it to both sides.

Add '0.1225' to each side of the equation.
-0.7x + 0.1225 + x2 = -1.2 + 0.1225

Reorder the terms:
0.1225 + -0.7x + x2 = -1.2 + 0.1225

Combine like terms: -1.2 + 0.1225 = -1.0775
0.1225 + -0.7x + x2 = -1.0775

Factor a perfect square on the left side:
(x + -0.35)(x + -0.35) = -1.0775

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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