Question

solving quadratics by factoring
score: 3/5 penalty: 0.25 off
question
solve for all values of x by factoring.
x² - 5x - 12 = -5x + 4
answer attempt 1 out of 2
additional solution no solution
x =
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Explanation:

Step1: Simplify the equation

Add $5x$ to both sides: $x^2 - 12 = 4$
Add 12 to both sides: $x^2 = 16$

Step2: Factor the quadratic

$x^2 - 16 = 0$ factors as $(x - 4)(x + 4) = 0$

Step3: Solve for x

Set factors to zero: $x - 4 = 0$ or $x + 4 = 0$ → $x = 4$ or $x = -4$

Answer:

$x = 4$ and $x = -4$