I cant figure out how to solve this problem
Solve by Factoring:
5x^2-32=-12
5x^2=20
x^2=4
x=+-2
its suppose to be 32x not 32
5x^2-32x+12=0
(5x -2 )(x- 6)=0
To solve the equation 5x^2 - 32 = -12 by factoring, follow these steps:
Step 1: Rearrange the equation so that one side is equal to zero.
5x^2 - 32 + 12 = 0
Step 2: Combine like terms.
5x^2 - 20 = 0
Step 3: Factor the quadratic expression.
To factor this quadratic expression, we need to decompose -20 into two numbers whose sum is equal to the coefficient of the linear term, which is 0.
In this case, we can factor 5x^2 - 20 as 5(x^2 - 4) = 0.
Step 4: Factor the quadratic expression inside the parentheses.
The expression x^2 - 4 can be factored as (x + 2)(x - 2) = 0.
Step 5: Set each factor equal to zero and solve for x.
Setting x + 2 = 0, we get x = -2.
Setting x - 2 = 0, we get x = 2.
Therefore, the solutions to the equation 5x^2 - 32 = -12 are x = -2 and x = 2.