The quadratic expression 2x² + 6x + 18 = 0 has only complex solutions.
( -1.5 ± 2.5980762113533i ) - because the b value (6) cannot be obtained as a sum of real factors.
* Conversely, 2x² + 12x + 18 has one solution (-3)
200x
8x3 + 4x2 + 6x + 3 = 4x2(2x + 1) + 3(2x + 1) = (2x + 1)(4x2 + 3)
4x3+10x2-6x 2x(2x2+5x-3) 2x(2x-1)(x+3)
(2x-4)(x-1) = 0
(2x - 1)(6x + 5)
200x
8x3 + 4x2 + 6x + 3 = 4x2(2x + 1) + 3(2x + 1) = (2x + 1)(4x2 + 3)
We know that when you submit questions you aren't free to use the right format to make the mathematical terms crystal clear. It is likely that you mean "x squared times 6 plus x squared times 2", which is clearer. You can factor out the "x squared" and you will see that you get "x squared times 8". You COULD mean (6x) squared plus (2x) squared, which would be different. 6x times 6x would equal x squared times 36, so your answer will be much different.
4x3+10x2-6x 2x(2x2+5x-3) 2x(2x-1)(x+3)
6x2 + 10x = 2x*(3x + 5)
(2x-4)(x-1) = 0
The GCF is 2x.
8x2 + 6x - 9 = 8x2 + 12x - 6x - 9 = 4x(2x + 3) - 3(2x + 3) = (2x + 3)(4x - 3)
(2x - 1)(6x + 5)
3x(2x + 1)
8
12+2x = 6x-18 12+18 = 6x-2x 30 = 4x Divide both sides of the equation by 4 to find the value of x: x = 7.5