Find the solutions to the equation 4x2 - 8x + 3 = 0

So to find the solutions, I will be factoring by grouping. Firstly, what two terms have a product of 12x² and a sum of -8x? That would be -2x and -6x. Replace -8x with -2x - 6x:

Next, factor 4x² - 2x and -6x + 3 separately. Make sure that they have the same quantity on the inside of the parentheses:

Now you can rewrite it as:

Now, apply the zero product property and solve:

In short, x = 3/2 (1.5) and 1/2 (0.5).

answer: 4

step-by-step explanation:

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225