Question

Factorize: 30x² + 7x - 15​

Answer 1

Step-by-step explanation:

02+7−15

30x^{2}+{\color{#c92786}{7x}}-1530x2+7x−15

302+25−18−15

30x^{2}+{\color{#c92786}{25x}}{\color{#c92786}{-18x}}-1530x2+25x−18x−15

2

Common factor from the two pairs

302+25−18−15

30x^{2}+25x-18x-1530x2+25x−18x−15

5(6+5)−3(6+5)

5x(6x+5)-3(6x+5)5x(6x+5)−3(6x+5)

3

Rewrite in factored form

5(6+5)−3(6+5)

5x(6x+5)-3(6x+5)5x(6x+5)−3(6x+5)

(5−3)(6+5)

Answer 2

Answer:

x = 6/5

Step-by-step explanation:

$30 {x}^{2} + 7x - 15$

$30 {x}^{2} - 25x + 18x - 15$

$5x(6x - 5) + 3(6x - 5)$

$(5x + 3)(6x - 5)$

(i)

$5x + 3 = 0$

$5x = - 3$

$x = \frac{ - 3}{5} \: \: (value \: of \: x \: cannot \: be \: negetive)$

(ii)

$6x - 5 = 0$

$6x = 5$

$x = \frac{6}{5}$