an equation is shown.\n6x² + 24x - 1000 = 152\nwhich value is one possible solution to the equation?\na…

Explanation:

Step1: Rearrange to standard quadratic form

First, rewrite the equation $6x^{2}+24x - 1000=152$ as $6x^{2}+24x-1000 - 152 = 0$, which simplifies to $6x^{2}+24x - 1152=0$. Divide through by 6 to get $x^{2}+4x - 192 = 0$.

Step2: Factor the quadratic equation

We need to find two numbers that multiply to - 192 and add up to 4. The numbers are 16 and - 12 since $16\times(-12)=-192$ and $16+( - 12)=4$. So the factored form is $(x + 16)(x - 12)=0$.

Step3: Solve for x

Set each factor equal to zero: $x+16 = 0$ gives $x=-16$; $x - 12=0$ gives $x = 12$.

Answer:

D. 12