Factoring solving ײ+8×=-15
Answer (1)
Answer:x=−3 and x=−5.To solve the equation x2+8x=−15, we first rearrange it into standard form:x2+8x+15=0Next, we can factor the quadratic equation. We need to find two numbers that multiply to 15 (the constant term) and add up to 8 (the coefficient of x). The numbers 3 and 5 satisfy these conditions.Thus, we can factor the equation as follows:(x+3)(x+5)=0Now, we set each factor equal to zero:x+3=0 ⟹ x=−3x+5=0 ⟹ x=−5The solutions to the equation x 2 +8x=−15 are:x=−3 and x=−5
