Question 1120112
<br>
4x^3+6x^2 = 70x<br>
Get all terms on one side, with "0" on the other side:<br>
4x^3+6x^2-70x = 0<br>
Divide by the constant factor 2:<br>
2x^3+3x^2-35x = 0<br>
Factor out the common power of the variable:<br>
x(2x^2+3x-35) = 0<br>
Factor the remaining quadratic factor:<br>
x(2x-7)(x+5) = 0<br>
The solutions are when any of the factors on the left are zero:<br>
x = 0
2x-7 = 0  -->  x = 7/2
x+5 = 0  -->  x = -5<br>
Answer: The roots are -5, 0, and 7/2.