(2x-3)2-4(2x-3)+3=0

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Solution for (2x-3)2-4(2x-3)+3=0 equation:


Simplifying
(2x + -3) * 2 + -4(2x + -3) + 3 = 0

Reorder the terms:
(-3 + 2x) * 2 + -4(2x + -3) + 3 = 0

Reorder the terms for easier multiplication:
2(-3 + 2x) + -4(2x + -3) + 3 = 0
(-3 * 2 + 2x * 2) + -4(2x + -3) + 3 = 0
(-6 + 4x) + -4(2x + -3) + 3 = 0

Reorder the terms:
-6 + 4x + -4(-3 + 2x) + 3 = 0
-6 + 4x + (-3 * -4 + 2x * -4) + 3 = 0
-6 + 4x + (12 + -8x) + 3 = 0

Reorder the terms:
-6 + 12 + 3 + 4x + -8x = 0

Combine like terms: -6 + 12 = 6
6 + 3 + 4x + -8x = 0

Combine like terms: 6 + 3 = 9
9 + 4x + -8x = 0

Combine like terms: 4x + -8x = -4x
9 + -4x = 0

Solving
9 + -4x = 0

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + -4x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = 0 + -9
-4x = 0 + -9

Combine like terms: 0 + -9 = -9
-4x = -9

Divide each side by '-4'.
x = 2.25

Simplifying
x = 2.25

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