Let's solve your equation step-by-step. ( 4 x − 3 ) ( ( x − 2 ) 2 ) = 4 x 3 − 19 x 2 + 4 x − 12 4 x 3 − 19 x 2 + 28 x − 12 = 4 x 3 − 19 x 2 + 4 x − 12 Step 1: Subtract 4x^3 from both sides. 4 x 3 − 19 x 2 + 28 x − 12 − 4 x 3 = 4 x 3 − 19 x 2 + 4 x − 12 − 4 x 3 − 19 x 2 + 28 x − 12 = − 19 x 2 + 4 x
12 Step 2: Add 19x^2 to both sides. − 19 x 2 + 28 x − 12 + 19 x 2 = − 19 x 2 + 4 x − 12 + 19 x 2 28 x − 12 = 4 x − 12 Step 3: Subtract 4x from both sides. 28 x − 12 − 4 x = 4 x − 12 − 4 x 24 x − 12 = − 12 Step 4: Add 12 to both sides. 24 x − 12 + 12 = − 12 + 12 24 x = 0 Step 5: Divide both sides by 24. 24 x 24 = 0 24 x = 0 Answer: x = 0
