What is factor 10a^2+7a-12 ?

The solution to factor 10a^2+7a-12 is (5a-4)(2a+3)

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factor 10a^2+7a-12

factor

10 a^{2} + 7 a - 12

(5 a - 4) (2 a + 3)

Solution steps

10 a^{2} + 7 a - 12

Break the expression into groups

= (10 a^{2} - 8 a) + (15 a - 12)

Factor out

2 a

from

10 a^{2} - 8 a : 2 a (5 a - 4)

Factor out

3

from

15 a - 12 : 3 (5 a - 4)

= 2 a (5 a - 4) + 3 (5 a - 4)

Factor out common term

5 a - 4

= (5 a - 4) (2 a + 3)

11 (2 x - 1) + 3 x = 13

6 x + 3 = 15

18 x^{2} + 39 x - 7

4 y^{2} + 4 y + 1 = 0

3 (x - 2)^{2} - 27 = 0