Question

current learning objective: solving quadratic equations by factoring
question 10
score: 0 of 1 point
solve 5x² + 12x = 9
x = enter your answer
separate your answer with comma if there are more than one solution.
submit answer attempts: 0/1
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Explanation:

Step1: Rearrange to standard form

Move 9 to the left - hand side to get $5x^{2}+12x - 9=0$.

Step2: Factor the quadratic equation

We need to find two numbers that multiply to $5\times(-9)=-45$ and add up to 12. The numbers are 15 and - 3. So, $5x^{2}+15x-3x - 9 = 0$. Group the terms: $5x(x + 3)-3(x + 3)=0$, which factors to $(5x - 3)(x+3)=0$.

Step3: Solve for x

Set each factor equal to zero.
If $5x - 3=0$, then $5x=3$, and $x=\frac{3}{5}$.
If $x + 3=0$, then $x=-3$.

Answer:

$x=-3,\frac{3}{5}$