Solve the quadratic equation using any technique you wish. Name the technique. Check.
12x2 + 10x = 0
I really need help with this I do not know how to solve quadratic equations
This is not a general quadratic equation because the constant term is missing. In this case, if you factor the left-hand side, you will find the complete solution:
12x²+10x=0
2x(6x+5)=0
x=0 or 6x+5=0
x=0 or x=-5/6
To solve the quadratic equation 12x^2 + 10x = 0, we can use the technique of factoring.
Step 1: Rewrite the equation in standard form, which involves setting the equation equal to zero:
12x^2 + 10x = 0
Step 2: Look for a common factor that can be factored out. In this case, the common factor is 2x:
2x(6x + 5) = 0
Step 3: Set each factor equal to zero and solve for x.
2x = 0 or 6x + 5 = 0
For the first equation, divide both sides by 2:
x = 0
For the second equation, subtract 5 from both sides and divide by 6:
6x = -5
x = -5/6
So, the solutions to the quadratic equation 12x^2 + 10x = 0 are x = 0 and x = -5/6.
To check if these solutions are correct, substitute them back into the original equation and verify if both sides are equal.