5x^2-50x+70=0

Simple and best practice solution for 5x^2-50x+70=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 5x^2-50x+70=0 equation: 


Simplifying
5x2 + -50x + 70 = 0

Reorder the terms:
70 + -50x + 5x2 = 0

Solving
70 + -50x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(14 + -10x + x2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(14 + -10x + x2)' equal to zero and attempt to solve:

Simplifying
14 + -10x + x2 = 0

Solving
14 + -10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-14' to each side of the equation.
14 + -10x + -14 + x2 = 0 + -14

Reorder the terms:
14 + -14 + -10x + x2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -10x + x2 = 0 + -14
-10x + x2 = 0 + -14

Combine like terms: 0 + -14 = -14
-10x + x2 = -14

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = -14 + 25

Reorder the terms:
25 + -10x + x2 = -14 + 25

Combine like terms: -14 + 25 = 11
25 + -10x + x2 = 11

Factor a perfect square on the left side:
(x + -5)(x + -5) = 11

Calculate the square root of the right side: 3.31662479

Break this problem into two subproblems by setting 
(x + -5) equal to 3.31662479 and -3.31662479.


Subproblem 1
x + -5 = 3.31662479

Simplifying
x + -5 = 3.31662479

Reorder the terms:
-5 + x = 3.31662479

Solving
-5 + x = 3.31662479

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + x = 3.31662479 + 5

Combine like terms: -5 + 5 = 0
0 + x = 3.31662479 + 5
x = 3.31662479 + 5

Combine like terms: 3.31662479 + 5 = 8.31662479
x = 8.31662479

Simplifying
x = 8.31662479


Subproblem 2
x + -5 = -3.31662479

Simplifying
x + -5 = -3.31662479

Reorder the terms:
-5 + x = -3.31662479

Solving
-5 + x = -3.31662479

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + x = -3.31662479 + 5

Combine like terms: -5 + 5 = 0
0 + x = -3.31662479 + 5
x = -3.31662479 + 5

Combine like terms: -3.31662479 + 5 = 1.68337521
x = 1.68337521

Simplifying
x = 1.68337521


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {8.31662479, 1.68337521}
Solution
x = {8.31662479, 1.68337521}

See similar equations:

| 54-(2p)-4=0 | | 5x-21y+3=0 | | 16x^2-11x-42=0 | | (B+7)*(B-10)= | | -2e-2=14+10E | | -2(5x-9)+6=-10x+24 | | n/-62=-54 | | 4,128/d=86 | | X*2(A+B)-X+3X= | | 3x+1*12x=360 | | 1.79/-1/5 | | -sin^2x-2cos^2x=0 | | 0.16(y-9)+0.02y=0.20y-1.5 | | -2y+9=14-3y | | X*1/9=2/3 | | x/720=0.06 | | -36x+72=-4x^2 | | n/23=322 | | 8-3=p | | a/27=16 | | 16x^4-u^4x^4=0 | | 8p^2+11p+20=6+6p^2 | | m/8=2 | | 4,002/k=46 | | 76+3x-1+4x=180 | | x^2-60x+200=0 | | 210m^2+276m+92=2 | | z^5=1+i | | 46/b=2 | | z^5=3 | | 7x^2+36xy+5y^2=0 | | 7n^2+18=-45n |

Equations solver categories