Final answer:
To solve the quadratic equation -5x²-12x+5-23+3x²=0, rearrange the equation to get the coefficients and then use the quadratic formula to solve for x.
Step-by-step explanation:
This is a quadratic equation of the form ax² + bx + c = 0. We can rearrange it to get the coefficients:
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- a = -5 + 3 = -2
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- b = -12
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- c = 5 - 23 = -18
Now we can use the quadratic formula to solve for x:
x = (-b ± √(b² - 4ac)) / (2a)
Plugging in the values, we get:
x = (-(-12) ± √((-12)² - 4(-2)(-18))) / (2(-2))