x^2+10x-1+16=0

Simple and best practice solution for x^2+10x-1+16=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 x^2+10x-1+16=0 equation:


Simplifying
x2 + 10x + -1 + 16 = 0

Reorder the terms:
-1 + 16 + 10x + x2 = 0

Combine like terms: -1 + 16 = 15
15 + 10x + x2 = 0

Solving
15 + 10x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + 10x + -15 + x2 = 0 + -15

Reorder the terms:
15 + -15 + 10x + x2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 10x + x2 = 0 + -15
10x + x2 = 0 + -15

Combine like terms: 0 + -15 = -15
10x + x2 = -15

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 = -15 + 25

Reorder the terms:
25 + 10x + x2 = -15 + 25

Combine like terms: -15 + 25 = 10
25 + 10x + x2 = 10

Factor a perfect square on the left side:
(x + 5)(x + 5) = 10

Calculate the square root of the right side: 3.16227766

Break this problem into two subproblems by setting 
(x + 5) equal to 3.16227766 and -3.16227766.

Subproblem 1

x + 5 = 3.16227766 Simplifying x + 5 = 3.16227766 Reorder the terms: 5 + x = 3.16227766 Solving 5 + x = 3.16227766 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 = 3.16227766 + -5 Combine like terms: 5 + -5 = 0 0 + x = 3.16227766 + -5 x = 3.16227766 + -5 Combine like terms: 3.16227766 + -5 = -1.83772234 x = -1.83772234 Simplifying x = -1.83772234

Subproblem 2

x + 5 = -3.16227766 Simplifying x + 5 = -3.16227766 Reorder the terms: 5 + x = -3.16227766 Solving 5 + x = -3.16227766 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 = -3.16227766 + -5 Combine like terms: 5 + -5 = 0 0 + x = -3.16227766 + -5 x = -3.16227766 + -5 Combine like terms: -3.16227766 + -5 = -8.16227766 x = -8.16227766 Simplifying x = -8.16227766

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-1.83772234, -8.16227766}

See similar equations:

| x^2+10xy+y^2-6=0 | | 7x^2+12x-16=2-3x | | 5(-31x+28)=-12(6+2x) | | z^2+9z=100 | | 9x^2+11x-12=9-9x | | 14.00*1.00=35 | | 6a=21 | | 4x^2+6x-3=9-7x | | 14x+30=-3-29x | | (b-4)(b-4)= | | 3x+2y=15solvey | | -6x+1+7x=-8+13 | | f(x)=ln(81sin^2(x)) | | 3n+2.8=6.7 | | 0.09x-0.021x-21002=322 | | -2x+4y-4=0 | | 412x-32-5x=31x+42 | | 3/17 | | 2L+21L-52=94 | | 4+5*67+67=67(1+56*67) | | 55+3y-8=180 | | 6(x-3)=3(3x-5) | | 2x-4+x=-5x+x*5 | | -4(2x+4)-7=-19 | | 5(x+2)=5(3x+2) | | 5x^2-63x+72=0 | | (6-x)(4-x)=0 | | x(12-2x)(8-2x)=0 | | x^2+xy-2y^2+x-11y-12=0 | | 3c+14=5c | | 21x/52 | | 6x+8=10x-4 |

Equations solver categories