Answer:
Step-by-step explanation:
x² - 28 - 3x = 0
x² - 3x - 28 = 0
x² + 4x - 7x - 28 = 0
x × (x + 4) - 7(x + 4) = 0
(x + 4) × (x - 7) = 0
x + 4 = 0
x = -4
x - 7 = 0
x = 7
5x = x² + 6
5x - x² - 6 = 0
-x² + 5x - 6 = 0
-1(-x² + 5x - 6) = 0
x² - 5x + 6 = 0
x² - 2x - 3x + 6 = 0
x × (x - 2) - 3(x - 2) = 0
(x - 2) × (x - 3) = 0
x - 2 = 0
x = 2
x - 3 = 0
x = 3
x × (x + 2) = 24
x² + 2x = 24
x² + 2x - 24 = 0
x² + 6x - 4x - 24 = 0
x × (x + 6) - 4(x + 6) = 0
(x + 6) × (x - 4) = 0
x + 6 = 0
x = -6
x - 4 = 0
x = 4
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Answers & Comments
Answer:
1. x = -4 , x = 7
2. x = 2 , x = 3
3. x = -6 , x = 4
Step-by-step explanation:
1. Factoring
x² - 28 - 3x = 0
x² - 3x - 28 = 0
x² + 4x - 7x - 28 = 0
x × (x + 4) - 7(x + 4) = 0
(x + 4) × (x - 7) = 0
x + 4 = 0
x = -4
x - 7 = 0
x = 7
2. Factoring
5x = x² + 6
5x - x² - 6 = 0
-x² + 5x - 6 = 0
-1(-x² + 5x - 6) = 0
x² - 5x + 6 = 0
x² - 2x - 3x + 6 = 0
x × (x - 2) - 3(x - 2) = 0
(x - 2) × (x - 3) = 0
x - 2 = 0
x = 2
x - 3 = 0
x = 3
3. Factoring
x × (x + 2) = 24
x² + 2x = 24
x² + 2x - 24 = 0
x² + 6x - 4x - 24 = 0
x × (x + 6) - 4(x + 6) = 0
(x + 6) × (x - 4) = 0
x + 6 = 0
x = -6
x - 4 = 0
x = 4