-10x+x^2=-13

Simple and best practice solution for -10x+x^2=-13 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 -10x+x^2=-13 equation:


Simplifying
-10x + x2 = -13

Solving
-10x + x2 = -13

Solving for variable 'x'.

Reorder the terms:
13 + -10x + x2 = -13 + 13

Combine like terms: -13 + 13 = 0
13 + -10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-13' to each side of the equation.
13 + -10x + -13 + x2 = 0 + -13

Reorder the terms:
13 + -13 + -10x + x2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -10x + x2 = 0 + -13
-10x + x2 = 0 + -13

Combine like terms: 0 + -13 = -13
-10x + x2 = -13

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = -13 + 25

Reorder the terms:
25 + -10x + x2 = -13 + 25

Combine like terms: -13 + 25 = 12
25 + -10x + x2 = 12

Factor a perfect square on the left side:
(x + -5)(x + -5) = 12

Calculate the square root of the right side: 3.464101615

Break this problem into two subproblems by setting 
(x + -5) equal to 3.464101615 and -3.464101615.

Subproblem 1

x + -5 = 3.464101615 Simplifying x + -5 = 3.464101615 Reorder the terms: -5 + x = 3.464101615 Solving -5 + x = 3.464101615 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 3.464101615 + 5 Combine like terms: -5 + 5 = 0 0 + x = 3.464101615 + 5 x = 3.464101615 + 5 Combine like terms: 3.464101615 + 5 = 8.464101615 x = 8.464101615 Simplifying x = 8.464101615

Subproblem 2

x + -5 = -3.464101615 Simplifying x + -5 = -3.464101615 Reorder the terms: -5 + x = -3.464101615 Solving -5 + x = -3.464101615 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = -3.464101615 + 5 Combine like terms: -5 + 5 = 0 0 + x = -3.464101615 + 5 x = -3.464101615 + 5 Combine like terms: -3.464101615 + 5 = 1.535898385 x = 1.535898385 Simplifying x = 1.535898385

Solution

The solution to the problem is based on the solutions from the subproblems. x = {8.464101615, 1.535898385}

See similar equations:

| X/2+1=-2 | | -6a-15= | | -1.7(-5g-9)-2.9g= | | y=-3/2(1)+2 | | 0-x=5 | | M/6=16 | | a+14b= | | y=-3/2(0)+2 | | 4x-9=5x+7 | | 1/6(6t-6)=(t+6/12) | | 15=-2x+9 | | 4(y+10)+4=60 | | y=-3/2(-1)+2 | | -4g=52 | | 10x+20=5x-10 | | 16f=-100 | | x^3+9=x^2+9x | | 100/n=10 | | -1.7(-5g-9)-29g= | | a-4(b-5a)= | | a(x-y)+5(x-y)= | | 8-(5x)=-18 | | -3x+6(0)=24 | | (-2-3x)(1-4x)=0 | | (7x-54)+y=8x | | 13y/4-5y/3=-19 | | 2x+5(0)=20 | | -2a+5b+7a= | | 15x-7=3+10x | | f(-3)=2x^2-7x+5 | | -3(0)+6y=24 | | 49y^2-42xy+9x^2=0 |

Equations solver categories