X^2+10x+5=-x^2-3

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Solution for X^2+10x+5=-x^2-3 equation:


Simplifying
X2 + 10x + 5 = -1x2 + -3

Reorder the terms:
5 + X2 + 10x = -1x2 + -3

Reorder the terms:
5 + X2 + 10x = -3 + -1x2

Solving
5 + X2 + 10x = -3 + -1x2

Solving for variable 'X'.

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

Add '-5' to each side of the equation.
5 + X2 + -5 + 10x = -3 + -5 + -1x2

Reorder the terms:
5 + -5 + X2 + 10x = -3 + -5 + -1x2

Combine like terms: 5 + -5 = 0
0 + X2 + 10x = -3 + -5 + -1x2
X2 + 10x = -3 + -5 + -1x2

Combine like terms: -3 + -5 = -8
X2 + 10x = -8 + -1x2

Add '-10x' to each side of the equation.
X2 + 10x + -10x = -8 + -10x + -1x2

Combine like terms: 10x + -10x = 0
X2 + 0 = -8 + -10x + -1x2
X2 = -8 + -10x + -1x2

Simplifying
X2 = -8 + -10x + -1x2

Reorder the terms:
8 + X2 + 10x + x2 = -8 + -10x + -1x2 + 8 + 10x + x2

Reorder the terms:
8 + X2 + 10x + x2 = -8 + 8 + -10x + 10x + -1x2 + x2

Combine like terms: -8 + 8 = 0
8 + X2 + 10x + x2 = 0 + -10x + 10x + -1x2 + x2
8 + X2 + 10x + x2 = -10x + 10x + -1x2 + x2

Combine like terms: -10x + 10x = 0
8 + X2 + 10x + x2 = 0 + -1x2 + x2
8 + X2 + 10x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
8 + X2 + 10x + x2 = 0

The solution to this equation could not be determined.

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