2(2x^2-28x+10)=0

Simple and best practice solution for 2(2x^2-28x+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 2(2x^2-28x+10)=0 equation: 


Simplifying
2(2x2 + -28x + 10) = 0

Reorder the terms:
2(10 + -28x + 2x2) = 0
(10 * 2 + -28x * 2 + 2x2 * 2) = 0
(20 + -56x + 4x2) = 0

Solving
20 + -56x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(5 + -14x + x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(5 + -14x + x2)' equal to zero and attempt to solve:

Simplifying
5 + -14x + x2 = 0

Solving
5 + -14x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -14x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + -14x + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -14x + x2 = 0 + -5
-14x + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-14x + x2 = -5

The x term is -14x.  Take half its coefficient (-7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
-14x + 49 + x2 = -5 + 49

Reorder the terms:
49 + -14x + x2 = -5 + 49

Combine like terms: -5 + 49 = 44
49 + -14x + x2 = 44

Factor a perfect square on the left side:
(x + -7)(x + -7) = 44

Calculate the square root of the right side: 6.633249581

Break this problem into two subproblems by setting 
(x + -7) equal to 6.633249581 and -6.633249581.


Subproblem 1
x + -7 = 6.633249581

Simplifying
x + -7 = 6.633249581

Reorder the terms:
-7 + x = 6.633249581

Solving
-7 + x = 6.633249581

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + x = 6.633249581 + 7

Combine like terms: -7 + 7 = 0
0 + x = 6.633249581 + 7
x = 6.633249581 + 7

Combine like terms: 6.633249581 + 7 = 13.633249581
x = 13.633249581

Simplifying
x = 13.633249581


Subproblem 2
x + -7 = -6.633249581

Simplifying
x + -7 = -6.633249581

Reorder the terms:
-7 + x = -6.633249581

Solving
-7 + x = -6.633249581

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + x = -6.633249581 + 7

Combine like terms: -7 + 7 = 0
0 + x = -6.633249581 + 7
x = -6.633249581 + 7

Combine like terms: -6.633249581 + 7 = 0.366750419
x = 0.366750419

Simplifying
x = 0.366750419


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {13.633249581, 0.366750419}
Solution
x = {13.633249581, 0.366750419}

See similar equations:

| 9(m-2)-m=8(m-3)+6 | | n+12=0.5n-10 | | N^2-.36=0 | | (X-3)(6x+6)= | | 5g=40 | | 4y-3.2=28 | | x^2+1.5x+5=100 | | 4(2n+1)=-4n+8+7n | | .04h^2-16=0 | | x-6=-14+3x | | .0625y^2=81 | | 2x^2+x=150 | | 5(1-2x)=-3(3x-4) | | 4x^2+x=60 | | 5m-60=4m+10 | | .0625h^2-16=0 | | (1+x)(1-x)=15 | | 2x-9+2x+9=180 | | -125-6x=3x+55 | | 6(5x-13)=12(x+4) | | 5(2+x)=-3x | | 15-3x=3x+3 | | 3x=41 | | 8x=4(x+3) | | 4.7+2.8(x-5.1)=39.7 | | X^2-16x-28=0 | | n^2+n-42=0 | | 9(-4x)=432 | | 4.7+2.89(x-5.1)=39.7 | | X^2-24x-81=0 | | x+(x+30-13)=150 | | 2f-5=5 |

Equations solver categories