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I don't know if the bigger number is negative than its gonna come out negative if both numbers are negative ur gonna get a positive

The solutions of the equation 2x² - 5x - 12 = 0 are x = 4, x = -3/2.

What is an equation?

"I is a mathematical statement which consists of equal symbol between two mathematical expressions."

For given example,

Let 'x' represents a number.

Twelve less than twice the square of a number is equal to the product of -5 and the number.

If we write it in mathematical form, then we get an equation,

⇒12 - 2x^2 = -5x

We need to find the solutions of above equation.

⇒ 12 - 2x² = -5x

⇒ 2x² - 5x - 12 = 0

⇒ 2x² - 8x + 3x - 12 = 0

⇒ 2x(x - 4) + 3(x - 4) = 0

⇒ (x - 4)(2x + 3) = 0

⇒ x - 4 = 0    or       2x + 3 = 0

⇒ x = 4        or          x = -3/2

Therefore, the solutions of the equation 2x² - 5x - 12 = 0 are

x = 4, x = -3/2

Learn more about equation here:

https://brainly.com/question/13170101

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