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The answer is letter D. -3/2
2x² + x - 3 = 0
Write x as a difference
→ 2x² + 3x - 2x - 3 = 0
Factor out x from the expression in 2x² + 3x - 2x - 3 = 0
→ x(2x + 3) - 2x - 3 = 0
Factor out the negative sign from the expression in 2x² + 3x - 2x - 3 = 0
→ x(2x + 3) - (2x + 3) = 0
Factor out 2x + 3 from the expression
→ (2x + 3) (x - 1) = 0
Split up into two possible cases
→ 2x + 3 = 0
x - 1 = 0
Solve the equation for x
→ 2x = -3
x = 1
→ x = - 3/2
x = 1
→ x = - 3/2 ; x = 1