If it's not what You are looking for type in the equation solver your own equation and let us solve it.
4x^2+5x=14
We move all terms to the left:
4x^2+5x-(14)=0
a = 4; b = 5; c = -14;
Δ = b2-4ac
Δ = 52-4·4·(-14)
Δ = 249
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{-(5)-\sqrt{249}}{2*4}=\frac{-5-\sqrt{249}}{8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{249}}{2*4}=\frac{-5+\sqrt{249}}{8} $
| 6y-1=5y-1 | | 4x+6+4x+5+4x=4x+4x+5x+9 | | (4v-7)(2+v)=0 | | (9x-10)+83=127 | | 80+0.60x=50+0.90x | | 5|-4-7x|-10=110 | | -3w=91-3w | | (2x)+(x-3)+x=75 | | V^2+v=182 | | 96800-10x=200 | | 2.358x=x-11 | | 4.1=10m=6.64 | | 180=6(6+3k) | | 3x+3x+8+3x+9=3x+3x+4x+5 | | 3n-5n=-2n | | 5(t+1)=25t-7 | | -16=-5x+7x | | 5=7w+8w=2 | | 0=-16t^+484 | | 6(c+12)=6c+12 | | 7x-10=24 | | -x+33=44/(10-6) | | 140+0.20x=60+0.70x | | -3(3=x)+4(x-6)=-4 | | 94-(4x+7)=4(x+6)+x | | 140=-10a | | 5000=400/4x | | 2x+11x+13=3 | | 140=-14a | | 6+6a-7a=4 | | 2√x+9=21 | | x^2-x-8=-3x |