(-2x+1)(2x+1)-3=0

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Solution for (-2x+1)(2x+1)-3=0 equation:


Simplifying
(-2x + 1)(2x + 1) + -3 = 0

Reorder the terms:
(1 + -2x)(2x + 1) + -3 = 0

Reorder the terms:
(1 + -2x)(1 + 2x) + -3 = 0

Multiply (1 + -2x) * (1 + 2x)
(1(1 + 2x) + -2x * (1 + 2x)) + -3 = 0
((1 * 1 + 2x * 1) + -2x * (1 + 2x)) + -3 = 0
((1 + 2x) + -2x * (1 + 2x)) + -3 = 0
(1 + 2x + (1 * -2x + 2x * -2x)) + -3 = 0
(1 + 2x + (-2x + -4x2)) + -3 = 0

Combine like terms: 2x + -2x = 0
(1 + 0 + -4x2) + -3 = 0
(1 + -4x2) + -3 = 0

Reorder the terms:
1 + -3 + -4x2 = 0

Combine like terms: 1 + -3 = -2
-2 + -4x2 = 0

Solving
-2 + -4x2 = 0

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + -4x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -4x2 = 0 + 2
-4x2 = 0 + 2

Combine like terms: 0 + 2 = 2
-4x2 = 2

Divide each side by '-4'.
x2 = -0.5

Simplifying
x2 = -0.5

Reorder the terms:
0.5 + x2 = -0.5 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.5 + x2 = 0.0

The solution to this equation could not be determined.

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