x(x+3)-5=3x+20

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Solution for x(x+3)-5=3x+20 equation: 


Simplifying
x(x + 3) + -5 = 3x + 20

Reorder the terms:
x(3 + x) + -5 = 3x + 20
(3 * x + x * x) + -5 = 3x + 20
(3x + x2) + -5 = 3x + 20

Reorder the terms:
-5 + 3x + x2 = 3x + 20

Reorder the terms:
-5 + 3x + x2 = 20 + 3x

Add '-3x' to each side of the equation.
-5 + 3x + -3x + x2 = 20 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + 0 + x2 = 20 + 3x + -3x
-5 + x2 = 20 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + x2 = 20 + 0
-5 + x2 = 20

Solving
-5 + x2 = 20

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + x2 = 20 + 5

Combine like terms: -5 + 5 = 0
0 + x2 = 20 + 5
x2 = 20 + 5

Combine like terms: 20 + 5 = 25
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}

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