Can't figure out how to solve (factoring quadratic equations):
4x^2 +7x = 2

Question

Can't figure out how to solve (factoring quadratic equations): 
4x^2 +7x = 2

anonymous · Answer

first make it equal to 0 by making the equationb 4x^2+7x-2 =0. then use teh quadratic formula

$$x = -b + or - \sqrt{b ^{2}-4ac}/ 2a$$

anonymous · Answer

Factored Wrong... The answer would end up being (x-2) (4x-1)=0  or x=2 and x=1/4

anonymous · Answer

Would you be able to outline step by step - not really understanding this at all. Issue seems to be when the 'c' is less than 'b' - can't figure out how to solve. THANK YOU!

anonymous · Answer

Set equal to zero:  4x^2=7x-2=0
Plug the standard form equation into the quadratic formula:  $$-7\pm \sqrt{7^2-4(4)(-2)}/2(8)$$ 
Simplify: $$-7\pm \sqrt{49+32}/8$$
$$-7\pm \sqrt{81}/8$$
$$(-7\pm9)/8$$
Solve for X: $$(-7+9)/8=.25 or 1/4$$
and $$(-7-9)/8= -2$$