(x+2)(x+3)=5x+6

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Solution for (x+2)(x+3)=5x+6 equation: 


Simplifying
(x + 2)(x + 3) = 5x + 6

Reorder the terms:
(2 + x)(x + 3) = 5x + 6

Reorder the terms:
(2 + x)(3 + x) = 5x + 6

Multiply (2 + x) * (3 + x)
(2(3 + x) + x(3 + x)) = 5x + 6
((3 * 2 + x * 2) + x(3 + x)) = 5x + 6
((6 + 2x) + x(3 + x)) = 5x + 6
(6 + 2x + (3 * x + x * x)) = 5x + 6
(6 + 2x + (3x + x2)) = 5x + 6

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

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

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

Reorder the terms:
6 + -6 + 5x + x2 = 6 + -6 + 5x

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

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

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

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

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

Solving
x2 = 0

Solving for variable 'x'.

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

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