(2x-1)(2x+1)-(4+2)2=

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Solution for (2x-1)(2x+1)-(4+2)2= equation:


Simplifying
(2x + -1)(2x + 1) + -1(4 + 2) * 2 = 0

Reorder the terms:
(-1 + 2x)(2x + 1) + -1(4 + 2) * 2 = 0

Reorder the terms:
(-1 + 2x)(1 + 2x) + -1(4 + 2) * 2 = 0

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

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

Combine like terms: 4 + 2 = 6
-1 + 4x2 + -1(6) * 2 = 0

Multiply -1 * 6
-1 + 4x2 + -6 * 2 = 0

Multiply -6 * 2
-1 + 4x2 + -12 = 0

Reorder the terms:
-1 + -12 + 4x2 = 0

Combine like terms: -1 + -12 = -13
-13 + 4x2 = 0

Solving
-13 + 4x2 = 0

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 4x2 = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 4x2 = 0 + 13
4x2 = 0 + 13

Combine like terms: 0 + 13 = 13
4x2 = 13

Divide each side by '4'.
x2 = 3.25

Simplifying
x2 = 3.25

Take the square root of each side:
x = {-1.802775638, 1.802775638}

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