x^2-11x-13=-7x+1

Simple and best practice solution for x^2-11x-13=-7x+1 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 x^2-11x-13=-7x+1 equation:


Simplifying
x2 + -11x + -13 = -7x + 1

Reorder the terms:
-13 + -11x + x2 = -7x + 1

Reorder the terms:
-13 + -11x + x2 = 1 + -7x

Solving
-13 + -11x + x2 = 1 + -7x

Solving for variable 'x'.

Reorder the terms:
-13 + -1 + -11x + 7x + x2 = 1 + -7x + -1 + 7x

Combine like terms: -13 + -1 = -14
-14 + -11x + 7x + x2 = 1 + -7x + -1 + 7x

Combine like terms: -11x + 7x = -4x
-14 + -4x + x2 = 1 + -7x + -1 + 7x

Reorder the terms:
-14 + -4x + x2 = 1 + -1 + -7x + 7x

Combine like terms: 1 + -1 = 0
-14 + -4x + x2 = 0 + -7x + 7x
-14 + -4x + x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
-14 + -4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '14' to each side of the equation.
-14 + -4x + 14 + x2 = 0 + 14

Reorder the terms:
-14 + 14 + -4x + x2 = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -4x + x2 = 0 + 14
-4x + x2 = 0 + 14

Combine like terms: 0 + 14 = 14
-4x + x2 = 14

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = 14 + 4

Reorder the terms:
4 + -4x + x2 = 14 + 4

Combine like terms: 14 + 4 = 18
4 + -4x + x2 = 18

Factor a perfect square on the left side:
(x + -2)(x + -2) = 18

Calculate the square root of the right side: 4.242640687

Break this problem into two subproblems by setting 
(x + -2) equal to 4.242640687 and -4.242640687.

Subproblem 1

x + -2 = 4.242640687 Simplifying x + -2 = 4.242640687 Reorder the terms: -2 + x = 4.242640687 Solving -2 + x = 4.242640687 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 4.242640687 + 2 Combine like terms: -2 + 2 = 0 0 + x = 4.242640687 + 2 x = 4.242640687 + 2 Combine like terms: 4.242640687 + 2 = 6.242640687 x = 6.242640687 Simplifying x = 6.242640687

Subproblem 2

x + -2 = -4.242640687 Simplifying x + -2 = -4.242640687 Reorder the terms: -2 + x = -4.242640687 Solving -2 + x = -4.242640687 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = -4.242640687 + 2 Combine like terms: -2 + 2 = 0 0 + x = -4.242640687 + 2 x = -4.242640687 + 2 Combine like terms: -4.242640687 + 2 = -2.242640687 x = -2.242640687 Simplifying x = -2.242640687

Solution

The solution to the problem is based on the solutions from the subproblems. x = {6.242640687, -2.242640687}

See similar equations:

| x^2+x+6=8 | | 41-4X=5X+20 | | 2.82x+14=14 | | 2*x^2-7*x=3 | | 10-9X=158-37X | | 9x-(x+3)=2(x+4)-7 | | 3(x+1)+5x=-1+5(x-1) | | 2x^2+15x+8=0 | | 6x^3+44x^2+15x=0 | | 20*x^3=5*x | | -25-4x=11+10x | | -17x^6+17x^5+204x^4=0 | | 25*x^3=5*x | | (3x+9)=3 | | 5+4x=2x-2 | | x^2+17x+56=0 | | -4+14=17x-5-16x | | x+3x=608 | | x+3x=596 | | 4y-7+4y-8= | | 7(x+9)-40= | | 6300-x=4800 | | 13-3x=12-8x | | -6h^2-25=0 | | x^2+6x+11=18 | | 2(z-20)+2z=10 | | 5x^2-2=38 | | 1x+30=5x | | 6x+63=9 | | 3p*2-14p-5=0 | | 5x^2+7xy-6y^2= | | -8=z+32 |

Equations solver categories