Gisele solved the quadratic equation x^2+5x-6=0 by factoring. her work is shown below

Question

Step 1: x^2=5x-6=0
Step 2: (x+2)(x+3)=0
Step 3: x+2=0, x+3=0
Step 4: x=-2 or x=-3
Step 5: {-2, -3}
Gisele plugged her solutions into the original equation, and found that they did not work. In which step did she first make a mistake

Answer 1

Gisele made a mistake in Step 1.
The correct equation should be x^2 + 5x - 6 = 0 instead of x^2=5x-6=0.

Therefore, the correct Step 1 should be:
Step 1: x^2 + 5x - 6 = 0

Answer 2

Gisele solved the quadratic equation x^2+5x-6=0 by factoring. her work is shown below
Step 1: x^2+5x-6=0
Step 2: (x+2)(x+3)=0
Step 3: x+2=0, x+3=0
Step 4: x=-2 or x=-3
Step 5: {-2, -3}
Gisele plugged her solutions into the original equation, and found that they did not work. In which step did she first make a mistake

Answer 3

Gisele did not make a mistake in her factoring. The mistake occurred when she solved for x in Step 3. The correct step should be:

Step 3: x + 2 = 0 or x + 3 = 0

Then she should solve for x:

x + 2 = 0
x = -2

x + 3 = 0
x = -3

Therefore, Gisele's mistake was in incorrectly solving for x in Step 3.