The solutions for this quadratic equation is
x = 0 , -2/3
What is quadratic equation ?
A quadratic equation is also known as quadratic function. The quadratic function has the form of equation as ax²+ bx + c, where a, b, and c are the numbers not equal to zero. In mathematics, the quadratic function, the quadratic polynomials , 2nd degree polynomial is a polynomial function with one or more that one variables in which the highest term is of the second degree.
according to question given,
9 x²+6 x=0
take the 3x as common factor, equation is
3x ( 3x + 2) = 0
now, evaluating this expression
3x = 0 , say equation 1
and, 3x +2 =0 say equation 2
from equation 1 , x = 0
and, from equation 2
3x + 2 =0
x = -2 / 3
Thus final solutions for this equation is
x = 0 , -2/3
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