87x-35x^2=154

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Solution for 87x-35x^2=154 equation:


Simplifying
87x + -35x2 = 154

Solving
87x + -35x2 = 154

Solving for variable 'x'.

Reorder the terms:
-154 + 87x + -35x2 = 154 + -154

Combine like terms: 154 + -154 = 0
-154 + 87x + -35x2 = 0

Begin completing the square.  Divide all terms by
-35 the coefficient of the squared term: 

Divide each side by '-35'.
4.4 + -2.485714286x + x2 = 0

Move the constant term to the right:

Add '-4.4' to each side of the equation.
4.4 + -2.485714286x + -4.4 + x2 = 0 + -4.4

Reorder the terms:
4.4 + -4.4 + -2.485714286x + x2 = 0 + -4.4

Combine like terms: 4.4 + -4.4 = 0.0
0.0 + -2.485714286x + x2 = 0 + -4.4
-2.485714286x + x2 = 0 + -4.4

Combine like terms: 0 + -4.4 = -4.4
-2.485714286x + x2 = -4.4

The x term is -2.485714286x.  Take half its coefficient (-1.242857143).
Square it (1.544693878) and add it to both sides.

Add '1.544693878' to each side of the equation.
-2.485714286x + 1.544693878 + x2 = -4.4 + 1.544693878

Reorder the terms:
1.544693878 + -2.485714286x + x2 = -4.4 + 1.544693878

Combine like terms: -4.4 + 1.544693878 = -2.855306122
1.544693878 + -2.485714286x + x2 = -2.855306122

Factor a perfect square on the left side:
(x + -1.242857143)(x + -1.242857143) = -2.855306122

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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