7x(x-7)=77

Simple and best practice solution for 7x(x-7)=77 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 7x(x-7)=77 equation:



7x(x-7)=77
We move all terms to the left:
7x(x-7)-(77)=0
We multiply parentheses
7x^2-49x-77=0
a = 7; b = -49; c = -77;
Δ = b2-4ac
Δ = -492-4·7·(-77)
Δ = 4557
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{4557}=\sqrt{49*93}=\sqrt{49}*\sqrt{93}=7\sqrt{93}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-49)-7\sqrt{93}}{2*7}=\frac{49-7\sqrt{93}}{14} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-49)+7\sqrt{93}}{2*7}=\frac{49+7\sqrt{93}}{14} $

See similar equations:

| 9=-9v-5=6v | | Y-8x+9=0 | | 4x-5=2x+8=-13 | | 25^xx625^x-7=5 | | 10+–3r=4 | | 8(v-7)=4v-20 | | (14+3i)+(2+3i)=0 | | (25x)(30x-15)=180 | | 3u-6=-9(u+2) | | -4(u+2)=-2u-10 | | x+92+69=180 | | -6y12+2y=28 | | 10=5(u-2)+5u | | 18=2(v+5)+2v | | x+21+86=180 | | 4(y-6)-2y=-38 | | 48=(2x) | | 21x3+14x=0 | | (8^-x+11)=(16^2x) | | 39=5/7c+24 | | 57+26x=629 | | 4x+5+2x=30 | | 109=156-u | | 189=83-v | | -w+202=78 | | 75=261-x | | -8.08=3.4z-0.6 | | −3(-2a−4)+25=−3(5a+9)+1 | | -3(−2a−4)+25=−3(5a+9)+1 | | F(x)=(50,000-2,500x)(15+x) | | 2x=(x+9) | | (87-2x)=(14x+21) |

Equations solver categories