2(2x^2-11x+10)=0

Simple and best practice solution for 2(2x^2-11x+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^2-11x+10)=0 equation: 


Simplifying
2(2x2 + -11x + 10) = 0

Reorder the terms:
2(10 + -11x + 2x2) = 0
(10 * 2 + -11x * 2 + 2x2 * 2) = 0
(20 + -22x + 4x2) = 0

Solving
20 + -22x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + -11x + 2x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(10 + -11x + 2x2)' equal to zero and attempt to solve:

Simplifying
10 + -11x + 2x2 = 0

Solving
10 + -11x + 2x2 = 0

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

Divide each side by '2'.
5 + -5.5x + x2 = 0

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -5.5x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + -5.5x + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -5.5x + x2 = 0 + -5
-5.5x + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-5.5x + x2 = -5

The x term is -5.5x.  Take half its coefficient (-2.75).
Square it (7.5625) and add it to both sides.

Add '7.5625' to each side of the equation.
-5.5x + 7.5625 + x2 = -5 + 7.5625

Reorder the terms:
7.5625 + -5.5x + x2 = -5 + 7.5625

Combine like terms: -5 + 7.5625 = 2.5625
7.5625 + -5.5x + x2 = 2.5625

Factor a perfect square on the left side:
(x + -2.75)(x + -2.75) = 2.5625

Calculate the square root of the right side: 1.600781059

Break this problem into two subproblems by setting 
(x + -2.75) equal to 1.600781059 and -1.600781059.


Subproblem 1
x + -2.75 = 1.600781059

Simplifying
x + -2.75 = 1.600781059

Reorder the terms:
-2.75 + x = 1.600781059

Solving
-2.75 + x = 1.600781059

Solving for variable 'x'.

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

Add '2.75' to each side of the equation.
-2.75 + 2.75 + x = 1.600781059 + 2.75

Combine like terms: -2.75 + 2.75 = 0.00
0.00 + x = 1.600781059 + 2.75
x = 1.600781059 + 2.75

Combine like terms: 1.600781059 + 2.75 = 4.350781059
x = 4.350781059

Simplifying
x = 4.350781059


Subproblem 2
x + -2.75 = -1.600781059

Simplifying
x + -2.75 = -1.600781059

Reorder the terms:
-2.75 + x = -1.600781059

Solving
-2.75 + x = -1.600781059

Solving for variable 'x'.

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

Add '2.75' to each side of the equation.
-2.75 + 2.75 + x = -1.600781059 + 2.75

Combine like terms: -2.75 + 2.75 = 0.00
0.00 + x = -1.600781059 + 2.75
x = -1.600781059 + 2.75

Combine like terms: -1.600781059 + 2.75 = 1.149218941
x = 1.149218941

Simplifying
x = 1.149218941


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.350781059, 1.149218941}
Solution
x = {4.350781059, 1.149218941}

See similar equations:

| 4x+9.33y=7.5 | | x/11+2=-11 | | 8(t+2)-3(t+4)=6(t-7)+8 | | 4(c+2)+6=26 | | 3(y^2+8y+15)=0 | | 3x^2-x-130=0 | | 2(9b^2+12b-5)=0 | | 3r+6=14 | | 1.73/3=x/10x | | 11=-7w+4(w-4) | | 3(4r+5)-2(3r+4)=7 | | y=2(2)+8 | | y=2(-4)+8 | | 15j=165 | | 3(4x^2+12x+9)=0 | | 94+88+74+95+x=90 | | 4(k+12)=-3(6-5k) | | 2z^2+z-28=0 | | 4a+2b+c=c+2b+4a | | -57+10x=8 | | 4+3x+x+6=32 | | -3x^2-11x-10=0 | | 3(2x-3)-5=-15-35-3x | | -0.4166w=-3 | | 4x^2+20v+21=0 | | 18=7ln(1.8x+3) | | 4x^2+20x+33=0 | | x+(x+4)=52 | | 2(y+5)+3y=-10 | | 3n-5=9 | | 9-9x=59-44x | | 3x-13+4x=7x+1 |

Equations solver categories