5x^2-7*5x+10=0

Simple and best practice solution for 5x^2-7*5x+10=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^2-7*5x+10=0 equation: 


Simplifying
5x2 + -7 * 5x + 10 = 0

Multiply -7 * 5
5x2 + -35x + 10 = 0

Reorder the terms:
10 + -35x + 5x2 = 0

Solving
10 + -35x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(2 + -7x + x2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(2 + -7x + x2)' equal to zero and attempt to solve:

Simplifying
2 + -7x + x2 = 0

Solving
2 + -7x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -7x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -7x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7x + x2 = 0 + -2
-7x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-7x + x2 = -2

The x term is -7x.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7x + 12.25 + x2 = -2 + 12.25

Reorder the terms:
12.25 + -7x + x2 = -2 + 12.25

Combine like terms: -2 + 12.25 = 10.25
12.25 + -7x + x2 = 10.25

Factor a perfect square on the left side:
(x + -3.5)(x + -3.5) = 10.25

Calculate the square root of the right side: 3.201562119

Break this problem into two subproblems by setting 
(x + -3.5) equal to 3.201562119 and -3.201562119.


Subproblem 1
x + -3.5 = 3.201562119

Simplifying
x + -3.5 = 3.201562119

Reorder the terms:
-3.5 + x = 3.201562119

Solving
-3.5 + x = 3.201562119

Solving for variable 'x'.

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

Add '3.5' to each side of the equation.
-3.5 + 3.5 + x = 3.201562119 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + x = 3.201562119 + 3.5
x = 3.201562119 + 3.5

Combine like terms: 3.201562119 + 3.5 = 6.701562119
x = 6.701562119

Simplifying
x = 6.701562119


Subproblem 2
x + -3.5 = -3.201562119

Simplifying
x + -3.5 = -3.201562119

Reorder the terms:
-3.5 + x = -3.201562119

Solving
-3.5 + x = -3.201562119

Solving for variable 'x'.

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

Add '3.5' to each side of the equation.
-3.5 + 3.5 + x = -3.201562119 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + x = -3.201562119 + 3.5
x = -3.201562119 + 3.5

Combine like terms: -3.201562119 + 3.5 = 0.298437881
x = 0.298437881

Simplifying
x = 0.298437881


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.701562119, 0.298437881}
Solution
x = {6.701562119, 0.298437881}

See similar equations:

| x^2-4.9x=2.7 | | 4x-15-6x+3=24-3x-4-3x | | p^4-7p^2+1=0 | | 40+-1y+z=77 | | y+20=9 | | Y+2(y-4)= | | 2ydx-(3x-2x)dy=0 | | 20f+10-15f-3= | | -30v=w+8 | | -8a=40 | | 2ydx-(3y-2x)dy=0 | | 15(-3n)= | | 5x+1.5=x | | -9=6+5x | | 5x+2.5=x | | 4c^2+4bc+b^2=0 | | 5x+7=8x-26 | | 5(-2)2-2(3)2+2(-2)= | | y-1=1.6666(x-5) | | y-1=1.6(x-5) | | 25+4y-8=15y-10-2y | | x=2t-4 | | x+p*x+p*x+p*x+p=0 | | qm-f+yd=0 | | 3p-2=1+p | | 46=6x-2 | | 29.48=6g+3.86 | | (x-4)*(x-4)-(2x-11)*(2x-11)=3 | | y=0.75+4 | | 6x-11=65 | | 16=9x+4-5x | | (3z+2)*(3z-2)=21 |

Equations solver categories