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

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


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

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

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

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

Multiply (1 + 3x) * (1 + -3x)
1 + -4x2 + -1(1(1 + -3x) + 3x * (1 + -3x)) = 0
1 + -4x2 + -1((1 * 1 + -3x * 1) + 3x * (1 + -3x)) = 0
1 + -4x2 + -1((1 + -3x) + 3x * (1 + -3x)) = 0
1 + -4x2 + -1(1 + -3x + (1 * 3x + -3x * 3x)) = 0
1 + -4x2 + -1(1 + -3x + (3x + -9x2)) = 0

Combine like terms: -3x + 3x = 0
1 + -4x2 + -1(1 + 0 + -9x2) = 0
1 + -4x2 + -1(1 + -9x2) = 0
1 + -4x2 + (1 * -1 + -9x2 * -1) = 0
1 + -4x2 + (-1 + 9x2) = 0

Reorder the terms:
1 + -1 + -4x2 + 9x2 = 0

Combine like terms: 1 + -1 = 0
0 + -4x2 + 9x2 = 0
-4x2 + 9x2 = 0

Combine like terms: -4x2 + 9x2 = 5x2
5x2 = 0

Solving
5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
x2 = 0

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

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