4x^2+7x-15=-10

Simple and best practice solution for 4x^2+7x-15=-10 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 4x^2+7x-15=-10 equation:



4x^2+7x-15=-10
We move all terms to the left:
4x^2+7x-15-(-10)=0
We add all the numbers together, and all the variables
4x^2+7x-5=0
a = 4; b = 7; c = -5;
Δ = b2-4ac
Δ = 72-4·4·(-5)
Δ = 129
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-\sqrt{129}}{2*4}=\frac{-7-\sqrt{129}}{8} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{129}}{2*4}=\frac{-7+\sqrt{129}}{8} $

See similar equations:

| 3x-9x=2(1-3x)-1 | | 5(3-x)+7x=3x+15+2x | | (4w-8)=90 | | 16-4t=5t | | 2(x+4)+x+10=180 | | 17x+12=47 | | x=1235 | | 4x-x=1235 | | 4x=1235 | | 35-17=6j-3j | | y+83=100 | | 0.1x^2+2.4x+25=430 | | X=(3x+137) | | 22/7*r^2=616 | | 66+x=67 | | 1/2(2x-7+x-6)=x | | (x+5)+28=180 | | (3-7i)(2-5i)=0 | | -3(x+4)=7x-6+2(x-4) | | 3(6+2x=8(5x+6)-4x | | 11=d/2 | | 5=7n | | (2-x)(x-5)=(x+6)(x-4) | | -2v/3=14 | | (s(s-5)(s+5))/8=0 | | 25x/2x=256 | | 6(6x+6)-5=3x+2 | | (u^2-13u)/6=0 | | 5(w-2)-9=-4(-6w+6)-4w | | 4y+9=32 | | w/6-1.3=-10.9 | | (x-2)(x-3)(x-4)=-24 |

Equations solver categories