solve the quadratic equation by factoring 16x²-3x-10=0
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16x2 – 10 = 27x ⇒ 16x2 – 27x – 10 = 0 ⇒ 16x2 – 32x + 5x – 10 = 0 ⇒ 16x(x – 2) +5(x – 2) = 0 ⇒ (16x + 5) (x – 2) = 0 Now, either 16x + 5 = 0 ⇒ x = −5 16 Or, x – 2 = 0 ⇒ x = 2 Thus, the roots of the given quadratic equation are x = −5 16 and x = 2
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