(-16)x^2+880(x)+70.7=0

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Solution for (-16)x^2+880(x)+70.7=0 equation: 


Simplifying
(-16) * x2 + 880(x) + 70.7 = 0

Reorder the terms:
70.7 + 880x + -16x2 = 0

Solving
70.7 + 880x + -16x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-16 the coefficient of the squared term: 

Divide each side by '-16'.
-4.41875 + -55x + x2 = 0

Move the constant term to the right:

Add '4.41875' to each side of the equation.
-4.41875 + -55x + 4.41875 + x2 = 0 + 4.41875

Reorder the terms:
-4.41875 + 4.41875 + -55x + x2 = 0 + 4.41875

Combine like terms: -4.41875 + 4.41875 = 0.00000
0.00000 + -55x + x2 = 0 + 4.41875
-55x + x2 = 0 + 4.41875

Combine like terms: 0 + 4.41875 = 4.41875
-55x + x2 = 4.41875

The x term is -55x.  Take half its coefficient (-27.5).
Square it (756.25) and add it to both sides.

Add '756.25' to each side of the equation.
-55x + 756.25 + x2 = 4.41875 + 756.25

Reorder the terms:
756.25 + -55x + x2 = 4.41875 + 756.25

Combine like terms: 4.41875 + 756.25 = 760.66875
756.25 + -55x + x2 = 760.66875

Factor a perfect square on the left side:
(x + -27.5)(x + -27.5) = 760.66875

Calculate the square root of the right side: 27.580223893

Break this problem into two subproblems by setting 
(x + -27.5) equal to 27.580223893 and -27.580223893.


Subproblem 1
x + -27.5 = 27.580223893

Simplifying
x + -27.5 = 27.580223893

Reorder the terms:
-27.5 + x = 27.580223893

Solving
-27.5 + x = 27.580223893

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '27.5' to each side of the equation.
-27.5 + 27.5 + x = 27.580223893 + 27.5

Combine like terms: -27.5 + 27.5 = 0.0
0.0 + x = 27.580223893 + 27.5
x = 27.580223893 + 27.5

Combine like terms: 27.580223893 + 27.5 = 55.080223893
x = 55.080223893

Simplifying
x = 55.080223893


Subproblem 2
x + -27.5 = -27.580223893

Simplifying
x + -27.5 = -27.580223893

Reorder the terms:
-27.5 + x = -27.580223893

Solving
-27.5 + x = -27.580223893

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '27.5' to each side of the equation.
-27.5 + 27.5 + x = -27.580223893 + 27.5

Combine like terms: -27.5 + 27.5 = 0.0
0.0 + x = -27.580223893 + 27.5
x = -27.580223893 + 27.5

Combine like terms: -27.580223893 + 27.5 = -0.080223893
x = -0.080223893

Simplifying
x = -0.080223893


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {55.080223893, -0.080223893}

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