(7x^2-4x+11)-(-2x^2+11x-9)=

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Solution for (7x^2-4x+11)-(-2x^2+11x-9)= equation:


Simplifying
(7x2 + -4x + 11) + -1(-2x2 + 11x + -9) = 0

Reorder the terms:
(11 + -4x + 7x2) + -1(-2x2 + 11x + -9) = 0

Remove parenthesis around (11 + -4x + 7x2)
11 + -4x + 7x2 + -1(-2x2 + 11x + -9) = 0

Reorder the terms:
11 + -4x + 7x2 + -1(-9 + 11x + -2x2) = 0
11 + -4x + 7x2 + (-9 * -1 + 11x * -1 + -2x2 * -1) = 0
11 + -4x + 7x2 + (9 + -11x + 2x2) = 0

Reorder the terms:
11 + 9 + -4x + -11x + 7x2 + 2x2 = 0

Combine like terms: 11 + 9 = 20
20 + -4x + -11x + 7x2 + 2x2 = 0

Combine like terms: -4x + -11x = -15x
20 + -15x + 7x2 + 2x2 = 0

Combine like terms: 7x2 + 2x2 = 9x2
20 + -15x + 9x2 = 0

Solving
20 + -15x + 9x2 = 0

Solving for variable 'x'.

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

Divide each side by '9'.
2.222222222 + -1.666666667x + x2 = 0

Move the constant term to the right:

Add '-2.222222222' to each side of the equation.
2.222222222 + -1.666666667x + -2.222222222 + x2 = 0 + -2.222222222

Reorder the terms:
2.222222222 + -2.222222222 + -1.666666667x + x2 = 0 + -2.222222222

Combine like terms: 2.222222222 + -2.222222222 = 0.000000000
0.000000000 + -1.666666667x + x2 = 0 + -2.222222222
-1.666666667x + x2 = 0 + -2.222222222

Combine like terms: 0 + -2.222222222 = -2.222222222
-1.666666667x + x2 = -2.222222222

The x term is -1.666666667x.  Take half its coefficient (-0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
-1.666666667x + 0.6944444447 + x2 = -2.222222222 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667x + x2 = -2.222222222 + 0.6944444447

Combine like terms: -2.222222222 + 0.6944444447 = -1.5277777773
0.6944444447 + -1.666666667x + x2 = -1.5277777773

Factor a perfect square on the left side:
(x + -0.8333333335)(x + -0.8333333335) = -1.5277777773

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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