x^2+x+x+154=0

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Solution for x^2+x+x+154=0 equation:


Simplifying
x2 + x + x + 154 = 0

Reorder the terms:
154 + x + x + x2 = 0

Combine like terms: x + x = 2x
154 + 2x + x2 = 0

Solving
154 + 2x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-154' to each side of the equation.
154 + 2x + -154 + x2 = 0 + -154

Reorder the terms:
154 + -154 + 2x + x2 = 0 + -154

Combine like terms: 154 + -154 = 0
0 + 2x + x2 = 0 + -154
2x + x2 = 0 + -154

Combine like terms: 0 + -154 = -154
2x + x2 = -154

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 = -154 + 1

Reorder the terms:
1 + 2x + x2 = -154 + 1

Combine like terms: -154 + 1 = -153
1 + 2x + x2 = -153

Factor a perfect square on the left side:
(x + 1)(x + 1) = -153

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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