Question

topic 10-2: solve by factoring
review:
multiply ( x + 3 )( x - 4 )

answer:

solve for x: 2x - 7 = 0

Explanation:

Step1: Apply FOIL method to multiply

$(x+3)(x-4) = x\cdot x + x\cdot(-4) + 3\cdot x + 3\cdot(-4)$

Step2: Simplify each term

$= x^2 - 4x + 3x - 12$

Step3: Combine like terms

$= x^2 - x - 12$

Step4: Isolate the term with x

$2x - 7 = 0 \implies 2x = 7$

Step5: Solve for x by dividing

$x = \frac{7}{2}$

Answer:

1. $\boldsymbol{x^2 - x - 12}$
2. $\boldsymbol{x = \frac{7}{2}}$