Solve the equation:(x+3)/-3=(x+3)(x-1)
Divide both sides by (x+3), multipy both sides by -3.
I Will be happy to critique your work.
will it be x=-2?
no.
1=-3(x-1)
1=-3x+3
-2=-3x
x= 2/3
check that.
To solve the equation (x+3)/-3 = (x+3)(x-1), follow these steps:
Step 1: Multiply both sides of the equation by -3:
-3 * [(x+3)/-3] = -3 * [(x+3)(x-1)]
Simplifying, we get:
x + 3 = -3(x+3)(x-1)
Step 2: Expand the right side of the equation:
x + 3 = -3(x^2 - x + 3x - 3)
Simplifying further:
x + 3 = -3(x^2 + 2x - 3)
Step 3: Distribute the -3 to the terms in the parentheses:
x + 3 = -3x^2 - 6x + 9
Step 4: Rewrite the equation in standard form:
0 = -3x^2 - 7x + 6
Step 5: To solve this quadratic equation, we can factor or use the quadratic formula. In this case, factoring is easier:
(x - 2)(3x - 3) = 0
Step 6: Set each factor equal to zero:
x - 2 = 0 or 3x - 3 = 0
Step 7: Solve for x in each equation:
x = 2 or 3x = 3
Therefore, x = 2 or x = 1.
So, the solutions to the equation are x = 2 and x = 1.