(x+2)(x+3)=x+4x+10

Solution for (x+2)(x+3)=x+4x+10 equation:

Simplifying
(x + 2)(x + 3) = x + 4x + 10

Reorder the terms:
(2 + x)(x + 3) = x + 4x + 10

Reorder the terms:
(2 + x)(3 + x) = x + 4x + 10

Multiply (2 + x) * (3 + x)
(2(3 + x) + x(3 + x)) = x + 4x + 10
((3 * 2 + x * 2) + x(3 + x)) = x + 4x + 10
((6 + 2x) + x(3 + x)) = x + 4x + 10
(6 + 2x + (3 * x + x * x)) = x + 4x + 10
(6 + 2x + (3x + x2)) = x + 4x + 10

Combine like terms: 2x + 3x = 5x
(6 + 5x + x2) = x + 4x + 10

Reorder the terms:
6 + 5x + x2 = 10 + x + 4x

Combine like terms: x + 4x = 5x
6 + 5x + x2 = 10 + 5x

Add '-5x' to each side of the equation.
6 + 5x + -5x + x2 = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + 0 + x2 = 10 + 5x + -5x
6 + x2 = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + x2 = 10 + 0
6 + x2 = 10

Solving
6 + x2 = 10

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + x2 = 10 + -6

Combine like terms: 6 + -6 = 0
0 + x2 = 10 + -6
x2 = 10 + -6

Combine like terms: 10 + -6 = 4
x2 = 4

Simplifying
x2 = 4

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