-7x^2+12x=10

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


Simplifying
-7x2 + 12x = 10

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

Solving
12x + -7x2 = 10

Solving for variable 'x'.

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

Combine like terms: 10 + -10 = 0
-10 + 12x + -7x2 = 0

Begin completing the square.  Divide all terms by
-7 the coefficient of the squared term: 

Divide each side by '-7'.
1.428571429 + -1.714285714x + x2 = 0

Move the constant term to the right:

Add '-1.428571429' to each side of the equation.
1.428571429 + -1.714285714x + -1.428571429 + x2 = 0 + -1.428571429

Reorder the terms:
1.428571429 + -1.428571429 + -1.714285714x + x2 = 0 + -1.428571429

Combine like terms: 1.428571429 + -1.428571429 = 0.000000000
0.000000000 + -1.714285714x + x2 = 0 + -1.428571429
-1.714285714x + x2 = 0 + -1.428571429

Combine like terms: 0 + -1.428571429 = -1.428571429
-1.714285714x + x2 = -1.428571429

The x term is -1.714285714x.  Take half its coefficient (-0.857142857).
Square it (0.7346938773) and add it to both sides.

Add '0.7346938773' to each side of the equation.
-1.714285714x + 0.7346938773 + x2 = -1.428571429 + 0.7346938773

Reorder the terms:
0.7346938773 + -1.714285714x + x2 = -1.428571429 + 0.7346938773

Combine like terms: -1.428571429 + 0.7346938773 = -0.6938775517
0.7346938773 + -1.714285714x + x2 = -0.6938775517

Factor a perfect square on the left side:
(x + -0.857142857)(x + -0.857142857) = -0.6938775517

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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