(X^2+2x+3)+(-x^2+3x+10)=62

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Solution for (X^2+2x+3)+(-x^2+3x+10)=62 equation:


Simplifying
(X2 + 2x + 3) + (-1x2 + 3x + 10) = 62

Reorder the terms:
(3 + X2 + 2x) + (-1x2 + 3x + 10) = 62

Remove parenthesis around (3 + X2 + 2x)
3 + X2 + 2x + (-1x2 + 3x + 10) = 62

Reorder the terms:
3 + X2 + 2x + (10 + 3x + -1x2) = 62

Remove parenthesis around (10 + 3x + -1x2)
3 + X2 + 2x + 10 + 3x + -1x2 = 62

Reorder the terms:
3 + 10 + X2 + 2x + 3x + -1x2 = 62

Combine like terms: 3 + 10 = 13
13 + X2 + 2x + 3x + -1x2 = 62

Combine like terms: 2x + 3x = 5x
13 + X2 + 5x + -1x2 = 62

Solving
13 + X2 + 5x + -1x2 = 62

Solving for variable 'X'.

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

Add '-13' to each side of the equation.
13 + X2 + 5x + -13 + -1x2 = 62 + -13

Reorder the terms:
13 + -13 + X2 + 5x + -1x2 = 62 + -13

Combine like terms: 13 + -13 = 0
0 + X2 + 5x + -1x2 = 62 + -13
X2 + 5x + -1x2 = 62 + -13

Combine like terms: 62 + -13 = 49
X2 + 5x + -1x2 = 49

Add '-5x' to each side of the equation.
X2 + 5x + -5x + -1x2 = 49 + -5x

Combine like terms: 5x + -5x = 0
X2 + 0 + -1x2 = 49 + -5x
X2 + -1x2 = 49 + -5x

Add 'x2' to each side of the equation.
X2 + -1x2 + x2 = 49 + -5x + x2

Combine like terms: -1x2 + x2 = 0
X2 + 0 = 49 + -5x + x2
X2 = 49 + -5x + x2

Simplifying
X2 = 49 + -5x + x2

Reorder the terms:
-49 + X2 + 5x + -1x2 = 49 + -5x + x2 + -49 + 5x + -1x2

Reorder the terms:
-49 + X2 + 5x + -1x2 = 49 + -49 + -5x + 5x + x2 + -1x2

Combine like terms: 49 + -49 = 0
-49 + X2 + 5x + -1x2 = 0 + -5x + 5x + x2 + -1x2
-49 + X2 + 5x + -1x2 = -5x + 5x + x2 + -1x2

Combine like terms: -5x + 5x = 0
-49 + X2 + 5x + -1x2 = 0 + x2 + -1x2
-49 + X2 + 5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-49 + X2 + 5x + -1x2 = 0

The solution to this equation could not be determined.

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