-2x(x-1)+10=6x

Simple and best practice solution for -2x(x-1)+10=6x 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(x-1)+10=6x equation: 


Simplifying
-2x(x + -1) + 10 = 6x

Reorder the terms:
-2x(-1 + x) + 10 = 6x
(-1 * -2x + x * -2x) + 10 = 6x
(2x + -2x2) + 10 = 6x

Reorder the terms:
10 + 2x + -2x2 = 6x

Solving
10 + 2x + -2x2 = 6x

Solving for variable 'x'.

Reorder the terms:
10 + 2x + -6x + -2x2 = 6x + -6x

Combine like terms: 2x + -6x = -4x
10 + -4x + -2x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
10 + -4x + -2x2 = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(5 + -2x + -1x2)' equal to zero and attempt to solve:

Simplifying
5 + -2x + -1x2 = 0

Solving
5 + -2x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-5 + 2x + x2 = 0

Move the constant term to the right:

Add '5' to each side of the equation.
-5 + 2x + 5 + x2 = 0 + 5

Reorder the terms:
-5 + 5 + 2x + x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2x + x2 = 0 + 5
2x + x2 = 0 + 5

Combine like terms: 0 + 5 = 5
2x + x2 = 5

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = 5 + 1

Reorder the terms:
1 + 2x + x2 = 5 + 1

Combine like terms: 5 + 1 = 6
1 + 2x + x2 = 6

Factor a perfect square on the left side:
(x + 1)(x + 1) = 6

Calculate the square root of the right side: 2.449489743

Break this problem into two subproblems by setting 
(x + 1) equal to 2.449489743 and -2.449489743.


Subproblem 1
x + 1 = 2.449489743

Simplifying
x + 1 = 2.449489743

Reorder the terms:
1 + x = 2.449489743

Solving
1 + x = 2.449489743

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + x = 2.449489743 + -1

Combine like terms: 1 + -1 = 0
0 + x = 2.449489743 + -1
x = 2.449489743 + -1

Combine like terms: 2.449489743 + -1 = 1.449489743
x = 1.449489743

Simplifying
x = 1.449489743


Subproblem 2
x + 1 = -2.449489743

Simplifying
x + 1 = -2.449489743

Reorder the terms:
1 + x = -2.449489743

Solving
1 + x = -2.449489743

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + x = -2.449489743 + -1

Combine like terms: 1 + -1 = 0
0 + x = -2.449489743 + -1
x = -2.449489743 + -1

Combine like terms: -2.449489743 + -1 = -3.449489743
x = -3.449489743

Simplifying
x = -3.449489743


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.449489743, -3.449489743}
Solution
x = {1.449489743, -3.449489743}

See similar equations:

| 2t=10(t-1) | | -5=-35 | | X*2-14x=11 | | 3g-4+2g=16 | | 7x+5+2x=86 | | -4+12x=7 | | 2b-9=d | | 4-2x=6-3x-18 | | X^2+13x+17=0 | | aeg=10 | | -3k=m | | 2x+5=3x+1 | | 2x-10=-12 | | 3x*x-2x+7=0 | | 73=-6(k-7)+(k+5) | | -32+y=-11 | | 6x^2=10x+84 | | .5f+5=37 | | 7+7x=-14 | | 7-2d=-3 | | 8+4z=11+(3z+5) | | x(b+4)+3(b+4)= | | 2x-3=8(x-3) | | w^2-8w+19=0 | | x+2=26 | | 8x^2y^2-4x^2y+x^2= | | 20b+5= | | 30a-6= | | 3m-2-5m=10 | | 16a-24= | | 4(2x-1)=5(x-3) | | 8x+12= |

Equations solver categories