Question:
Consider the following sequence of steps to solve the equation: - 15 + 4x + 4x2 = 0
Step 1 ⇒ 4x2 + 4x - 15 = 0
Step 2 ⇒ 4x2 - 6x + 10x - 15 = 0
Step 3 ⇒ 2x (2x - 3) + 5 (2x - 3) = 0
Step 4 ⇒ (2x + 5) (2x - 3) = 0
Step 5 ⇒ x = - 3/2 or x = 5/2
A. Explain why Step 1 is valid using properties of the real number system.
Show possible intermediate steps to support your explanation.
A. Explain why Step 4 is valid.
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