54=(2x+2.25)*(x+2.25)-(2x)*(x)

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Solution for 54=(2x+2.25)*(x+2.25)-(2x)*(x) equation: 


Simplifying
54 = (2x + 2.25)(x + 2.25) + -1(2x)(x)

Reorder the terms:
54 = (2.25 + 2x)(x + 2.25) + -1(2x)(x)

Reorder the terms:
54 = (2.25 + 2x)(2.25 + x) + -1(2x)(x)

Multiply (2.25 + 2x) * (2.25 + x)
54 = (2.25(2.25 + x) + 2x * (2.25 + x)) + -1(2x)(x)
54 = ((2.25 * 2.25 + x * 2.25) + 2x * (2.25 + x)) + -1(2x)(x)
54 = ((5.0625 + 2.25x) + 2x * (2.25 + x)) + -1(2x)(x)
54 = (5.0625 + 2.25x + (2.25 * 2x + x * 2x)) + -1(2x)(x)
54 = (5.0625 + 2.25x + (4.5x + 2x2)) + -1(2x)(x)

Combine like terms: 2.25x + 4.5x = 6.75x
54 = (5.0625 + 6.75x + 2x2) + -1(2x)(x)

Remove parenthesis around (2x)
54 = 5.0625 + 6.75x + 2x2 + -1 * 2x(x)

Multiply -1 * 2
54 = 5.0625 + 6.75x + 2x2 + -2x * x

Multiply x * x
54 = 5.0625 + 6.75x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
54 = 5.0625 + 6.75x + 0
54 = 5.0625 + 6.75x

Solving
54 = 5.0625 + 6.75x

Solving for variable 'x'.

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

Add '-6.75x' to each side of the equation.
54 + -6.75x = 5.0625 + 6.75x + -6.75x

Combine like terms: 6.75x + -6.75x = 0.00
54 + -6.75x = 5.0625 + 0.00
54 + -6.75x = 5.0625

Add '-54' to each side of the equation.
54 + -54 + -6.75x = 5.0625 + -54

Combine like terms: 54 + -54 = 0
0 + -6.75x = 5.0625 + -54
-6.75x = 5.0625 + -54

Combine like terms: 5.0625 + -54 = -48.9375
-6.75x = -48.9375

Divide each side by '-6.75'.
x = 7.25

Simplifying
x = 7.25

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