3x^2=7x-10

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Solution for 3x^2=7x-10 equation: 


Simplifying
3x2 = 7x + -10

Reorder the terms:
3x2 = -10 + 7x

Solving
3x2 = -10 + 7x

Solving for variable 'x'.

Reorder the terms:
10 + -7x + 3x2 = -10 + 7x + 10 + -7x

Reorder the terms:
10 + -7x + 3x2 = -10 + 10 + 7x + -7x

Combine like terms: -10 + 10 = 0
10 + -7x + 3x2 = 0 + 7x + -7x
10 + -7x + 3x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
10 + -7x + 3x2 = 0

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

Divide each side by '3'.
3.333333333 + -2.333333333x + x2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + -2.333333333x + -3.333333333 + x2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + -2.333333333x + x2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + -2.333333333x + x2 = 0 + -3.333333333
-2.333333333x + x2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
-2.333333333x + x2 = -3.333333333

The x term is -2.333333333x.  Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
-2.333333333x + 1.361111112 + x2 = -3.333333333 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333x + x2 = -3.333333333 + 1.361111112

Combine like terms: -3.333333333 + 1.361111112 = -1.972222221
1.361111112 + -2.333333333x + x2 = -1.972222221

Factor a perfect square on the left side:
(x + -1.166666667)(x + -1.166666667) = -1.972222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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