X^2+11x+30=(x+5)(x+6)

Solution for X^2+11x+30=(x+5)(x+6) equation:

Simplifying
X2 + 11x + 30 = (x + 5)(x + 6)

Reorder the terms:
30 + X2 + 11x = (x + 5)(x + 6)

Reorder the terms:
30 + X2 + 11x = (5 + x)(x + 6)

Reorder the terms:
30 + X2 + 11x = (5 + x)(6 + x)

Multiply (5 + x) * (6 + x)
30 + X2 + 11x = (5(6 + x) + x(6 + x))
30 + X2 + 11x = ((6 * 5 + x * 5) + x(6 + x))
30 + X2 + 11x = ((30 + 5x) + x(6 + x))
30 + X2 + 11x = (30 + 5x + (6 * x + x * x))
30 + X2 + 11x = (30 + 5x + (6x + x2))

Combine like terms: 5x + 6x = 11x
30 + X2 + 11x = (30 + 11x + x2)

Add '-30' to each side of the equation.
30 + X2 + -30 + 11x = 30 + 11x + -30 + x2

Reorder the terms:
30 + -30 + X2 + 11x = 30 + 11x + -30 + x2

Combine like terms: 30 + -30 = 0
0 + X2 + 11x = 30 + 11x + -30 + x2
X2 + 11x = 30 + 11x + -30 + x2

Reorder the terms:
X2 + 11x = 30 + -30 + 11x + x2

Combine like terms: 30 + -30 = 0
X2 + 11x = 0 + 11x + x2
X2 + 11x = 11x + x2

Add '-11x' to each side of the equation.
X2 + 11x + -11x = 11x + -11x + x2

Combine like terms: 11x + -11x = 0
X2 + 0 = 11x + -11x + x2
X2 = 11x + -11x + x2

Combine like terms: 11x + -11x = 0
X2 = 0 + x2
X2 = x2

Solving
X2 = x2

Solving for variable 'X'.

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

Simplifying
X2 = x2

Take the square root of each side:
X = {-1x, x}