Jawab:
x₁  =  -³/₂,     x₂  =  -1        ✅

Penjelasan:
[1.] Faktorisasi
2x² + 5x + 3 = 0
ax² + bx + c = 0
a = 2, b = 5, c = 3
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Jika a ≠ 1, cari dua angka yg
saat dikali = ac, ditambah = b
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Cari dua angka yg ketika dikali
jadi 3(2), ditambah jadi 5
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Cari dua angka yg ketika dikali
jadi 6, ditambah jadi 5
adalah 2dan3
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2x² + 2x + 3x + 3 = 0
2x(x+1) + 3(x+1) = 0
(2x+3) (x+1) = 0
2x+3 = 0      x+1 = 0
x₁  =  -³/₂,     x₂  =  -1        ✅

[2.] Kuadrat sempurna
2x² + 5x + 3 = 0
2x² + 5x = -3
²/₂ x² + ⁵/₂ x = - ³/₂
x² + ⁵/₂ x = - ³/₂
x² + ⁵/₂ x + (⁵/₂·½)² = - ³/₂ + (⁵/₂·½)²
x² + ¹⁰/₄ x + (⁵/₄)² = - ³/₂ + (⁵/₄)²
x² + 2x(⁵/₄) + (⁵/₄)² = - ³⁽⁸⁾/₂₍₈₎ + ²⁵/₁₆
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Jadi kan    a = x²     dan     b = ⁵/₄
Perf. square. a² + 2ab + b² = (a+b)²
Maka x² + 2x(⁵/₄) + (⁵/₄)² = (x + ⁵/₄)²
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(x + ⁵/₄)² = - ²⁴/₁₆ + ²⁵/₁₆
(x + ⁵/₄)² = ¹/₁₆
|x + ⁵/₄| = √(¹/₁₆)
|x + ⁵/₄| = ¼
x₁ = - ¼ - ⁵/₄    x₂ = ¼ - ⁵/₄
x₁ = - ⁶/₄          x₂ = - ⁴/₄
x₁  =  -³/₂,        x₂  =  -1        ✅

[3.] Rumus abc
2x² + 5x + 3 = 0
ax² + bx + c = 0
a = 2, b = 5, c = 3
Rumus abc
x = ¹/₂ₐ · (-b ± √(b²-4ac))
x = ¹/₂₍₂₎ · (-5 ± √(5²-4(2)(3)))
x = ¼ · (-5 ± √(25-24))
x = ¼ · (-5 ± √1)
x = ¼ · (-5 ± 1)
x₁ = ⁽⁻⁵⁻¹⁾/₄       x₂ = ⁽⁻⁵⁺¹⁾/₄
x₁ = - ⁶/₄          x₂ = - ⁴/₄
x₁  =  -³/₂,        x₂  =  -1        ✅

(xcvi)