Question

S^2-17s-60=(s-5)(s-12) What would be wrong about this equation? What is the correct version?

Answer 1

The answer is -60=60

Simplifying
s2 + -17s + -60 = (s + -5)(s + -12)

Reorder the terms:
-60 + -17s + s2 = (s + -5)(s + -12)

Reorder the terms:
-60 + -17s + s2 = (-5 + s)(s + -12)

Reorder the terms:
-60 + -17s + s2 = (-5 + s)(-12 + s)

Multiply (-5 + s) * (-12 + s)
-60 + -17s + s2 = (-5(-12 + s) + s(-12 + s))
-60 + -17s + s2 = ((-12 * -5 + s * -5) + s(-12 + s))
-60 + -17s + s2 = ((60 + -5s) + s(-12 + s))
-60 + -17s + s2 = (60 + -5s + (-12 * s + s * s))
-60 + -17s + s2 = (60 + -5s + (-12s + s2))

Combine like terms: -5s + -12s = -17s
-60 + -17s + s2 = (60 + -17s + s2)

Add '17s' to each side of the equation.
-60 + -17s + 17s + s2 = 60 + -17s + 17s + s2

Combine like terms: -17s + 17s = 0
-60 + 0 + s2 = 60 + -17s + 17s + s2
-60 + s2 = 60 + -17s + 17s + s2

Combine like terms: -17s + 17s = 0
-60 + s2 = 60 + 0 + s2
-60 + s2 = 60 + s2

Add '-1s2' to each side of the equation.
-60 + s2 + -1s2 = 60 + s2 + -1s2

Combine like terms: s2 + -1s2 = 0
-60 + 0 = 60 + s2 + -1s2
-60 = 60 + s2 + -1s2

Combine like terms: s2 + -1s2 = 0
-60 = 60 + 0
-60 = 60

Solving
-60 = 60