17x(4-11x)=20x+7

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Solution for 17x(4-11x)=20x+7 equation:


Simplifying
17x(4 + -11x) = 20x + 7
(4 * 17x + -11x * 17x) = 20x + 7
(68x + -187x2) = 20x + 7

Reorder the terms:
68x + -187x2 = 7 + 20x

Solving
68x + -187x2 = 7 + 20x

Solving for variable 'x'.

Reorder the terms:
-7 + 68x + -20x + -187x2 = 7 + 20x + -7 + -20x

Combine like terms: 68x + -20x = 48x
-7 + 48x + -187x2 = 7 + 20x + -7 + -20x

Reorder the terms:
-7 + 48x + -187x2 = 7 + -7 + 20x + -20x

Combine like terms: 7 + -7 = 0
-7 + 48x + -187x2 = 0 + 20x + -20x
-7 + 48x + -187x2 = 20x + -20x

Combine like terms: 20x + -20x = 0
-7 + 48x + -187x2 = 0

Begin completing the square.  Divide all terms by
-187 the coefficient of the squared term: 

Divide each side by '-187'.
0.03743315508 + -0.256684492x + x2 = 0

Move the constant term to the right:

Add '-0.03743315508' to each side of the equation.
0.03743315508 + -0.256684492x + -0.03743315508 + x2 = 0 + -0.03743315508

Reorder the terms:
0.03743315508 + -0.03743315508 + -0.256684492x + x2 = 0 + -0.03743315508

Combine like terms: 0.03743315508 + -0.03743315508 = 0.00000000000
0.00000000000 + -0.256684492x + x2 = 0 + -0.03743315508
-0.256684492x + x2 = 0 + -0.03743315508

Combine like terms: 0 + -0.03743315508 = -0.03743315508
-0.256684492x + x2 = -0.03743315508

The x term is -0.256684492x.  Take half its coefficient (-0.128342246).
Square it (0.01647173211) and add it to both sides.

Add '0.01647173211' to each side of the equation.
-0.256684492x + 0.01647173211 + x2 = -0.03743315508 + 0.01647173211

Reorder the terms:
0.01647173211 + -0.256684492x + x2 = -0.03743315508 + 0.01647173211

Combine like terms: -0.03743315508 + 0.01647173211 = -0.02096142297
0.01647173211 + -0.256684492x + x2 = -0.02096142297

Factor a perfect square on the left side:
(x + -0.128342246)(x + -0.128342246) = -0.02096142297

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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