0.25(2x-3)2-3=1

Solution for 0.25(2x-3)2-3=1 equation:

Simplifying
0.25(2x + -3) * 2 + -3 = 1

Reorder the terms:
0.25(-3 + 2x) * 2 + -3 = 1

Reorder the terms for easier multiplication:
0.25 * 2(-3 + 2x) + -3 = 1

Multiply 0.25 * 2
0.5(-3 + 2x) + -3 = 1
(-3 * 0.5 + 2x * 0.5) + -3 = 1
(-1.5 + 1x) + -3 = 1

Reorder the terms:
-1.5 + -3 + 1x = 1

Combine like terms: -1.5 + -3 = -4.5
-4.5 + 1x = 1

Solving
-4.5 + 1x = 1

Solving for variable 'x'.

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

Add '4.5' to each side of the equation.
-4.5 + 4.5 + 1x = 1 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + 1x = 1 + 4.5
1x = 1 + 4.5

Combine like terms: 1 + 4.5 = 5.5
1x = 5.5

Divide each side by '1'.
x = 5.5

Simplifying
x = 5.5