24(2x+1)-24(2x-1)=(2x+1)(2x-1)

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Solution for 24(2x+1)-24(2x-1)=(2x+1)(2x-1) equation: 


Simplifying
24(2x + 1) + -24(2x + -1) = (2x + 1)(2x + -1)

Reorder the terms:
24(1 + 2x) + -24(2x + -1) = (2x + 1)(2x + -1)
(1 * 24 + 2x * 24) + -24(2x + -1) = (2x + 1)(2x + -1)
(24 + 48x) + -24(2x + -1) = (2x + 1)(2x + -1)

Reorder the terms:
24 + 48x + -24(-1 + 2x) = (2x + 1)(2x + -1)
24 + 48x + (-1 * -24 + 2x * -24) = (2x + 1)(2x + -1)
24 + 48x + (24 + -48x) = (2x + 1)(2x + -1)

Reorder the terms:
24 + 24 + 48x + -48x = (2x + 1)(2x + -1)

Combine like terms: 24 + 24 = 48
48 + 48x + -48x = (2x + 1)(2x + -1)

Combine like terms: 48x + -48x = 0
48 + 0 = (2x + 1)(2x + -1)
48 = (2x + 1)(2x + -1)

Reorder the terms:
48 = (1 + 2x)(2x + -1)

Reorder the terms:
48 = (1 + 2x)(-1 + 2x)

Multiply (1 + 2x) * (-1 + 2x)
48 = (1(-1 + 2x) + 2x * (-1 + 2x))
48 = ((-1 * 1 + 2x * 1) + 2x * (-1 + 2x))
48 = ((-1 + 2x) + 2x * (-1 + 2x))
48 = (-1 + 2x + (-1 * 2x + 2x * 2x))
48 = (-1 + 2x + (-2x + 4x2))

Combine like terms: 2x + -2x = 0
48 = (-1 + 0 + 4x2)
48 = (-1 + 4x2)

Solving
48 = -1 + 4x2

Solving for variable 'x'.

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

Add '-4x2' to each side of the equation.
48 + -4x2 = -1 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
48 + -4x2 = -1 + 0
48 + -4x2 = -1

Add '-48' to each side of the equation.
48 + -48 + -4x2 = -1 + -48

Combine like terms: 48 + -48 = 0
0 + -4x2 = -1 + -48
-4x2 = -1 + -48

Combine like terms: -1 + -48 = -49
-4x2 = -49

Divide each side by '-4'.
x2 = 12.25

Simplifying
x2 = 12.25

Take the square root of each side:
x = {-3.5, 3.5}

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