4.5(8+4.5)=b(b)

Solution for 4.5(8+4.5)=b(b) equation:

Simplifying
4.5(8 + 4.5) = b(b)

Combine like terms: 8 + 4.5 = 12.5
4.5(12.5) = b(b)

Multiply 4.5 * 12.5
56.25 = b(b)

Multiply b * b
56.25 = b2

Solving
56.25 = b2

Solving for variable 'b'.

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

Add '-1b2' to each side of the equation.
56.25 + -1b2 = b2 + -1b2

Combine like terms: b2 + -1b2 = 0
56.25 + -1b2 = 0

Add '-56.25' to each side of the equation.
56.25 + -56.25 + -1b2 = 0 + -56.25

Combine like terms: 56.25 + -56.25 = 0.00
0.00 + -1b2 = 0 + -56.25
-1b2 = 0 + -56.25

Combine like terms: 0 + -56.25 = -56.25
-1b2 = -56.25

Divide each side by '-1'.
b2 = 56.25

Simplifying
b2 = 56.25

Take the square root of each side:
b = {-7.5, 7.5}