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Question
solving quadratics by factoring
score: 1/5 penalty: 0.25 off
question
solve for all values of x by factoring.
x² - 7x - 1 = -1
answer attempt 1 out of 2
additional solution no solution
x =
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Step1: Simplify the equation
Add 1 to both sides: $x^2 - 7x - 1 + 1 = -1 + 1$ → $x^2 - 7x = 0$
Step2: Factor the quadratic
Factor out $x$: $x(x - 7) = 0$
Step3: Solve for x
Set each factor to 0: $x = 0$ or $x - 7 = 0$ → $x = 0$ or $x = 7$
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