# How do you solve #15x^2 + 7x=2#?

##### 1 Answer

May 26, 2015

y = 15x^2 + 7x - 2 = 0.(1). I use the new Transformation Method for solving quadratic equations. (Google, Yahoo Search)

Transformed equation: x^2 + 7x - 30 = 0 (2)

Factor pairs of a.c = -30 --> (-2, 15)(-3, 10). This sum is 10 -3 = 7 = b.

Then 2 real roots of (2) are: 3 and -10.

Back to (1), the 2 real roots are:

This Transformation Method is fast, systematic, no factoring by grouping, no solving binomials.