80x^2-620x+1360=0

Simple and best practice solution for 80x^2-620x+1360=0 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 80x^2-620x+1360=0 equation:


Simplifying
80x2 + -620x + 1360 = 0

Reorder the terms:
1360 + -620x + 80x2 = 0

Solving
1360 + -620x + 80x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '20'.
20(68 + -31x + 4x2) = 0

Ignore the factor 20.

Subproblem 1

Set the factor '(68 + -31x + 4x2)' equal to zero and attempt to solve: Simplifying 68 + -31x + 4x2 = 0 Solving 68 + -31x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 17 + -7.75x + x2 = 0 Move the constant term to the right: Add '-17' to each side of the equation. 17 + -7.75x + -17 + x2 = 0 + -17 Reorder the terms: 17 + -17 + -7.75x + x2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -7.75x + x2 = 0 + -17 -7.75x + x2 = 0 + -17 Combine like terms: 0 + -17 = -17 -7.75x + x2 = -17 The x term is -7.75x. Take half its coefficient (-3.875). Square it (15.015625) and add it to both sides. Add '15.015625' to each side of the equation. -7.75x + 15.015625 + x2 = -17 + 15.015625 Reorder the terms: 15.015625 + -7.75x + x2 = -17 + 15.015625 Combine like terms: -17 + 15.015625 = -1.984375 15.015625 + -7.75x + x2 = -1.984375 Factor a perfect square on the left side: (x + -3.875)(x + -3.875) = -1.984375 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

See similar equations:

| 4-x+4=2 | | 1/3*m=32.50 | | 20x^2-155x+340=0 | | 5x-49=6x | | 5-9r=8+5r | | 175*104=12*r | | 2x-5+4x=5+3x+8 | | 3(x-5)=2(-6-x)-2x | | 0.6+0.04x=4.2 | | .70*p=189.95 | | x+44x-77=0 | | -3x=10x | | y=x^2-10x+13 | | 3x+2=-2x-1 | | 7d-3c=f+2dform | | 7-12p+12+11p= | | 10×y/9=100 | | 3x-6=3(2+2(3+x)+4)-1 | | 2-(6x-21)=7(x-2) | | 6*6=-426 | | 8+3m=8-5m | | 3/4*t=6 | | -15=2p+1 | | 10×y/9==100 | | 9-60x=90-25x-30 | | 55x/6=9/4 | | 3/4*t*p=6 | | -0.7+2.4k=18.02 | | 4p+1-1=p-8+3p+8 | | 4(5t-6)=28t+7 | | x^2+64-36=0 | | 5x-2(x-2)=-8+5x+2 |

Equations solver categories