2x^2-10x+2=0

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


Simplifying
2x2 + -10x + 2 = 0

Reorder the terms:
2 + -10x + 2x2 = 0

Solving
2 + -10x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -5x + x2) = 0

Ignore the factor 2.

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

Simplifying
1 + -5x + x2 = 0

Solving
1 + -5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -5x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -5x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5x + x2 = 0 + -1
-5x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-5x + x2 = -1

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = -1 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -1 + 6.25

Combine like terms: -1 + 6.25 = 5.25
6.25 + -5x + x2 = 5.25

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = 5.25

Calculate the square root of the right side: 2.291287847

Break this problem into two subproblems by setting 
(x + -2.5) equal to 2.291287847 and -2.291287847.


Subproblem 1
x + -2.5 = 2.291287847

Simplifying
x + -2.5 = 2.291287847

Reorder the terms:
-2.5 + x = 2.291287847

Solving
-2.5 + x = 2.291287847

Solving for variable 'x'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + x = 2.291287847 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = 2.291287847 + 2.5
x = 2.291287847 + 2.5

Combine like terms: 2.291287847 + 2.5 = 4.791287847
x = 4.791287847

Simplifying
x = 4.791287847


Subproblem 2
x + -2.5 = -2.291287847

Simplifying
x + -2.5 = -2.291287847

Reorder the terms:
-2.5 + x = -2.291287847

Solving
-2.5 + x = -2.291287847

Solving for variable 'x'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + x = -2.291287847 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = -2.291287847 + 2.5
x = -2.291287847 + 2.5

Combine like terms: -2.291287847 + 2.5 = 0.208712153
x = 0.208712153

Simplifying
x = 0.208712153


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.791287847, 0.208712153}
Solution
x = {4.791287847, 0.208712153}

See similar equations:

| x-.30x=1.4 | | -x^2+14+147=0 | | -8x+13=-4+3(x+2) | | 21x^2-43x+20=0 | | 5-10w+8w=1s | | 4x^2+10x+6= | | -2(-9y+4)-y=5(y-3)-3 | | 2(k+5)=-25-5k | | 4x^2+79x+330=0 | | -n-24=15-n | | 26=-4+t | | 3(x-1)=3x+1-2(-2x-7) | | -85=-5(5+x) | | 5.5-3b=4m-2(6m+2) | | -9=-4+f | | 100x^2+81=0 | | a-(25)=-5 | | -12x+6y=-21 | | 3x^2-13x+6=0 | | 300-42=k | | 8y=5x-8 | | 120=h(7+3) | | 2-7x=11+2x | | -3(5v-2)+v=2(v+9) | | 2p-30=-4p+6 | | 360=h(11+7) | | 1k+1=3k-1 | | 8+4(3w-1)=-4(2w-2)+4w | | t-3.2=-8.3 | | 9x^2-35x+18=0 | | 7-2=-10 | | 7+Z=19 |

Equations solver categories