#7 Factor 9x^2 + 5x - 4
#8 How is solving a quadratic equation like 6x^2 - x = 15 different from solving a linear equation like 2x + 3 = 7?
Solve 6x^2 - x = 15.
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To factor 9x^2 + 5x - 4 we note that 5 = 9 - 4
9x^2 + 5x - 4 = 9x^2 + 9x - 4x - 4 = 9x(x+1) - 4(x+1) = (9x-4)(x+1)
9x^2 + 5x - 4 = (9x-4)(x+1)
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The solution shows how to factor a simple quadratic