X^2+3x+11=3(x+5)

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Solution for X^2+3x+11=3(x+5) equation: 


Simplifying
X2 + 3x + 11 = 3(x + 5)

Reorder the terms:
11 + X2 + 3x = 3(x + 5)

Reorder the terms:
11 + X2 + 3x = 3(5 + x)
11 + X2 + 3x = (5 * 3 + x * 3)
11 + X2 + 3x = (15 + 3x)

Add '-3x' to each side of the equation.
11 + X2 + 3x + -3x = 15 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + X2 + 0 = 15 + 3x + -3x
11 + X2 = 15 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + X2 = 15 + 0
11 + X2 = 15

Solving
11 + X2 = 15

Solving for variable 'X'.

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

Add '-11' to each side of the equation.
11 + -11 + X2 = 15 + -11

Combine like terms: 11 + -11 = 0
0 + X2 = 15 + -11
X2 = 15 + -11

Combine like terms: 15 + -11 = 4
X2 = 4

Simplifying
X2 = 4

Take the square root of each side:
X = {-2, 2}

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