(7x^2+6)-(2x-5)=

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Solution for (7x^2+6)-(2x-5)= equation:


Simplifying
(7x2 + 6) + -1(2x + -5) = 0

Reorder the terms:
(6 + 7x2) + -1(2x + -5) = 0

Remove parenthesis around (6 + 7x2)
6 + 7x2 + -1(2x + -5) = 0

Reorder the terms:
6 + 7x2 + -1(-5 + 2x) = 0
6 + 7x2 + (-5 * -1 + 2x * -1) = 0
6 + 7x2 + (5 + -2x) = 0

Reorder the terms:
6 + 5 + -2x + 7x2 = 0

Combine like terms: 6 + 5 = 11
11 + -2x + 7x2 = 0

Solving
11 + -2x + 7x2 = 0

Solving for variable 'x'.

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

Divide each side by '7'.
1.571428571 + -0.2857142857x + x2 = 0

Move the constant term to the right:

Add '-1.571428571' to each side of the equation.
1.571428571 + -0.2857142857x + -1.571428571 + x2 = 0 + -1.571428571

Reorder the terms:
1.571428571 + -1.571428571 + -0.2857142857x + x2 = 0 + -1.571428571

Combine like terms: 1.571428571 + -1.571428571 = 0.000000000
0.000000000 + -0.2857142857x + x2 = 0 + -1.571428571
-0.2857142857x + x2 = 0 + -1.571428571

Combine like terms: 0 + -1.571428571 = -1.571428571
-0.2857142857x + x2 = -1.571428571

The x term is -0.2857142857x.  Take half its coefficient (-0.1428571429).
Square it (0.02040816328) and add it to both sides.

Add '0.02040816328' to each side of the equation.
-0.2857142857x + 0.02040816328 + x2 = -1.571428571 + 0.02040816328

Reorder the terms:
0.02040816328 + -0.2857142857x + x2 = -1.571428571 + 0.02040816328

Combine like terms: -1.571428571 + 0.02040816328 = -1.55102040772
0.02040816328 + -0.2857142857x + x2 = -1.55102040772

Factor a perfect square on the left side:
(x + -0.1428571429)(x + -0.1428571429) = -1.55102040772

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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