16x^2=(2-3x)(2+3x)

Solution for 16x^2=(2-3x)(2+3x) equation:

Simplifying
16x2 = (2 + -3x)(2 + 3x)

Multiply (2 + -3x) * (2 + 3x)
16x2 = (2(2 + 3x) + -3x * (2 + 3x))
16x2 = ((2 * 2 + 3x * 2) + -3x * (2 + 3x))
16x2 = ((4 + 6x) + -3x * (2 + 3x))
16x2 = (4 + 6x + (2 * -3x + 3x * -3x))
16x2 = (4 + 6x + (-6x + -9x2))

Combine like terms: 6x + -6x = 0
16x2 = (4 + 0 + -9x2)
16x2 = (4 + -9x2)

Solving
16x2 = 4 + -9x2

Solving for variable 'x'.

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

Add '9x2' to each side of the equation.
16x2 + 9x2 = 4 + -9x2 + 9x2

Combine like terms: 16x2 + 9x2 = 25x2
25x2 = 4 + -9x2 + 9x2

Combine like terms: -9x2 + 9x2 = 0
25x2 = 4 + 0
25x2 = 4

Divide each side by '25'.
x2 = 0.16

Simplifying
x2 = 0.16

Take the square root of each side:
x = {-0.4, 0.4}