(x^2+88)=2x+3

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Solution for (x^2+88)=2x+3 equation:


Simplifying
(x2 + 88) = 2x + 3

Reorder the terms:
(88 + x2) = 2x + 3

Remove parenthesis around (88 + x2)
88 + x2 = 2x + 3

Reorder the terms:
88 + x2 = 3 + 2x

Solving
88 + x2 = 3 + 2x

Solving for variable 'x'.

Reorder the terms:
88 + -3 + -2x + x2 = 3 + 2x + -3 + -2x

Combine like terms: 88 + -3 = 85
85 + -2x + x2 = 3 + 2x + -3 + -2x

Reorder the terms:
85 + -2x + x2 = 3 + -3 + 2x + -2x

Combine like terms: 3 + -3 = 0
85 + -2x + x2 = 0 + 2x + -2x
85 + -2x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
85 + -2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-85' to each side of the equation.
85 + -2x + -85 + x2 = 0 + -85

Reorder the terms:
85 + -85 + -2x + x2 = 0 + -85

Combine like terms: 85 + -85 = 0
0 + -2x + x2 = 0 + -85
-2x + x2 = 0 + -85

Combine like terms: 0 + -85 = -85
-2x + x2 = -85

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -85 + 1

Reorder the terms:
1 + -2x + x2 = -85 + 1

Combine like terms: -85 + 1 = -84
1 + -2x + x2 = -84

Factor a perfect square on the left side:
(x + -1)(x + -1) = -84

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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