Question

(4x + 2)(x -1)(3x)(2x + 3) = 194 meters squared
what is the value of X

Answer 1

x ∈ {−2.18723​509003, 1.687​23509003}

Explanation:

You want the value of x that satisfies the equation (4x +2)(x -1)(3x)(2x +3) = 194.

Quartic

The fact that 194 is not divisible by 3 means the real solutions will not be integer values, likely irrational. A graphical solution and some iterations tell us the solutions are ...

x = −2.18723​509003

or

x = 1.687​23509003

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Additional comment

The product has units of square meters, so we presume these dimensions come in pairs of factors. It appears that both the positive and negative values of x will give factors pairs that have a positive product.

Any rational solutions would be multiples of 1/24. These solutions are not rational.