Answer:
-1/2-4x/5=1/2-2x
Starting from the left side, we can simplify:
-1/2 - 4x/5 = 1/2 - 2x
Next, we can isolate x by adding 2x to both sides:
-1/2 - 4x/5 + 2x = 1/2 - 2x + 2x
-1/2 + 2x/5 = 1/2
Adding 1/2 to both sides:
0 + 2x/5 = 1
Finally, solving for x:
2x/5 = 1
Multiplying both sides by 5:
2x = 5
Dividing both sides by 2:
x = 5/2
7x² + 9x² = -6x² - 7x
Combining like terms:
16x² = -6x² - 7x
Adding 6x² to both sides:
22x² = -7x
Dividing both sides by -7:
-22x²/-7 = 7x/-7
-22x²/7 = -7x/7
-22x²/7 = -x
Multiplying both sides by -7:
22x² = x
Dividing both sides by 22:
x² = x/22
Since this equation states that x² equals x divided by 22, it has no real solutions for x.
-7x² + 6 = x² - 7x²
Combining like terms:
-8x² + 6 = 0
Adding 8x² to both sides:
-8x² + 8x² + 6 = 0 + 8x²
6 = 8x²
Dividing both sides by 8:
6/8 = 8x²/8
3/4 = x²
Taking the square root of both sides:
sqrt(3/4) = sqrt(x²)
x = +/- sqrt(3/4)