8x^2-100x+140=0

Simple and best practice solution for 8x^2-100x+140=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 8x^2-100x+140=0 equation: 


Simplifying
8x2 + -100x + 140 = 0

Reorder the terms:
140 + -100x + 8x2 = 0

Solving
140 + -100x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(35 + -25x + 2x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(35 + -25x + 2x2)' equal to zero and attempt to solve:

Simplifying
35 + -25x + 2x2 = 0

Solving
35 + -25x + 2x2 = 0

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
17.5 + -12.5x + x2 = 0

Move the constant term to the right:

Add '-17.5' to each side of the equation.
17.5 + -12.5x + -17.5 + x2 = 0 + -17.5

Reorder the terms:
17.5 + -17.5 + -12.5x + x2 = 0 + -17.5

Combine like terms: 17.5 + -17.5 = 0.0
0.0 + -12.5x + x2 = 0 + -17.5
-12.5x + x2 = 0 + -17.5

Combine like terms: 0 + -17.5 = -17.5
-12.5x + x2 = -17.5

The x term is -12.5x.  Take half its coefficient (-6.25).
Square it (39.0625) and add it to both sides.

Add '39.0625' to each side of the equation.
-12.5x + 39.0625 + x2 = -17.5 + 39.0625

Reorder the terms:
39.0625 + -12.5x + x2 = -17.5 + 39.0625

Combine like terms: -17.5 + 39.0625 = 21.5625
39.0625 + -12.5x + x2 = 21.5625

Factor a perfect square on the left side:
(x + -6.25)(x + -6.25) = 21.5625

Calculate the square root of the right side: 4.643543905

Break this problem into two subproblems by setting 
(x + -6.25) equal to 4.643543905 and -4.643543905.


Subproblem 1
x + -6.25 = 4.643543905

Simplifying
x + -6.25 = 4.643543905

Reorder the terms:
-6.25 + x = 4.643543905

Solving
-6.25 + x = 4.643543905

Solving for variable 'x'.

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

Add '6.25' to each side of the equation.
-6.25 + 6.25 + x = 4.643543905 + 6.25

Combine like terms: -6.25 + 6.25 = 0.00
0.00 + x = 4.643543905 + 6.25
x = 4.643543905 + 6.25

Combine like terms: 4.643543905 + 6.25 = 10.893543905
x = 10.893543905

Simplifying
x = 10.893543905


Subproblem 2
x + -6.25 = -4.643543905

Simplifying
x + -6.25 = -4.643543905

Reorder the terms:
-6.25 + x = -4.643543905

Solving
-6.25 + x = -4.643543905

Solving for variable 'x'.

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

Add '6.25' to each side of the equation.
-6.25 + 6.25 + x = -4.643543905 + 6.25

Combine like terms: -6.25 + 6.25 = 0.00
0.00 + x = -4.643543905 + 6.25
x = -4.643543905 + 6.25

Combine like terms: -4.643543905 + 6.25 = 1.606456095
x = 1.606456095

Simplifying
x = 1.606456095


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {10.893543905, 1.606456095}
Solution
x = {10.893543905, 1.606456095}

See similar equations:

| x(x)+10(x)+6=0 | | a/28=81 | | 3.1x+57.7=26.2-7.4x | | .06x+.07(4x+38000)=48560 | | 4(3x-2)=-2(x+3)+12 | | 3/5-x/4=21/20 | | 3*(x-4)=-5 | | 6x+7(4x+38000)=48560 | | 2x^2-4x-286=0 | | x=2x-5-(88/x) | | 1x+4=45 | | 1-4(-2)/5(-2)(1)= | | x=2x-5-88x-1 | | (1.5x^3+4.8x^2-3.5x)-0.99(7x^3-9x^2+6)= | | x(x)+2(x)-4=0 | | t(t)-5(t)=0 | | t(2)-5t=0 | | 1.4d=7.5 | | 21/0.8 | | -289/c+6=17 | | 6(x+7)-20=68 | | -1/5-4=9 | | 0.15m-3.2=1.3 | | 0.15-3.2=1.3 | | -3/8*17/10= | | 0.1=4x | | -4x(x+2)= | | 3(3.2)=34y^2 | | -3/5*-17/10= | | 5(-4-3)= | | 3y+7=5y+3 | | 1/4(8-20c)-(5+c)+3(2c-5) |

Equations solver categories