I don't understand this.
Solve -5x - 6 = -6x^2
Rearrange to
6x^2-5x-6=0
(3x + 2)(2x - 3)= 0
Set each factor equal to zero and solve for x. I hope this helps.
To solve the quadratic equation -5x - 6 = -6x^2, you need to rearrange it into standard quadratic form, which is ax^2 + bx + c = 0. In this case, you rearrange it as 6x^2 - 5x - 6 = 0.
To factorize a quadratic equation, you can look for two binomials such that when multiplied together, their product equals the quadratic equation. In this case, it can be factored as (3x + 2)(2x - 3) = 0.
To find the values of x, you set each factor equal to zero and solve for x. So, you have two equations:
3x + 2 = 0
and
2x - 3 = 0
Solving the first equation, 3x + 2 = 0, you subtract 2 from both sides to isolate x:
3x = -2
Divide both sides by 3:
x = -2/3
Solving the second equation, 2x - 3 = 0, you add 3 to both sides to isolate x:
2x = 3
Divide both sides by 2:
x = 3/2 or 1.5
So, the solutions to the quadratic equation -5x - 6 = -6x^2 are x = -2/3 and x = 3/2 or x = 1.5.