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Explanation:
Q1:
2x² - 5x - 3 = 0.
=> (2x + 1)(x - 3) = 0
=> x = -0.5 or x = 3.
Q2:
3x² + x - 2 = 0.
=> (3x - 2)(x + 1) = 0
=> x = 2/3 or x = -1.
Q3:
x² + 4x = 21.
=> x² + 4x - 21 = 0
=> (x + 7)(x - 3) = 0
=> x = -7 or x = 3.
Q4:
x² - 12 = 24.
=> x² = 36
=> x = ±6.
Q5:
x² - 18x = 0.
=> x(x - 18) = 0
=> x = 0 or x = 18.