x^2+10x-151=0

Simple and best practice solution for x^2+10x-151=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-151=0 equation:


Simplifying
x2 + 10x + -151 = 0

Reorder the terms:
-151 + 10x + x2 = 0

Solving
-151 + 10x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '151' to each side of the equation.
-151 + 10x + 151 + x2 = 0 + 151

Reorder the terms:
-151 + 151 + 10x + x2 = 0 + 151

Combine like terms: -151 + 151 = 0
0 + 10x + x2 = 0 + 151
10x + x2 = 0 + 151

Combine like terms: 0 + 151 = 151
10x + x2 = 151

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 = 151 + 25

Reorder the terms:
25 + 10x + x2 = 151 + 25

Combine like terms: 151 + 25 = 176
25 + 10x + x2 = 176

Factor a perfect square on the left side:
(x + 5)(x + 5) = 176

Calculate the square root of the right side: 13.266499161

Break this problem into two subproblems by setting 
(x + 5) equal to 13.266499161 and -13.266499161.

Subproblem 1

x + 5 = 13.266499161 Simplifying x + 5 = 13.266499161 Reorder the terms: 5 + x = 13.266499161 Solving 5 + x = 13.266499161 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 = 13.266499161 + -5 Combine like terms: 5 + -5 = 0 0 + x = 13.266499161 + -5 x = 13.266499161 + -5 Combine like terms: 13.266499161 + -5 = 8.266499161 x = 8.266499161 Simplifying x = 8.266499161

Subproblem 2

x + 5 = -13.266499161 Simplifying x + 5 = -13.266499161 Reorder the terms: 5 + x = -13.266499161 Solving 5 + x = -13.266499161 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 = -13.266499161 + -5 Combine like terms: 5 + -5 = 0 0 + x = -13.266499161 + -5 x = -13.266499161 + -5 Combine like terms: -13.266499161 + -5 = -18.266499161 x = -18.266499161 Simplifying x = -18.266499161

Solution

The solution to the problem is based on the solutions from the subproblems. x = {8.266499161, -18.266499161}

See similar equations:

| 3x^2+7=-5 | | 65-2x=9x-21 | | 109-3x=33x+17 | | 6-8x=63-29x | | 2a^2+25b^2+5(2a+5)-10ab=0 | | 2x^2-13x+2=0 | | 7x^2+2=1 | | 8x+17=3x+147 | | x(2x-3)-10=0 | | 161-6x=30x+21 | | 59-5x=4x+20 | | 5-9x=69-23x | | -97-7x=8x+23 | | 2-3=5r | | 7-+17= | | -14+-11= | | 4x+7=77-6 | | x^3+4x+4=0 | | 5(2y-3)=3 | | 2x+33=11x+75 | | (5x-10)(x+6)=10 | | 9x+17=3x+1 | | 6x+71=11x+25 | | (x-7)(x-8)= | | 4x+12y=16 | | x^3-10x^2+27x+18=0 | | 11m+6n-2m+8n= | | 12b+3c-4b+5c= | | x^2-7xy+6y^2=18 | | -3x=28-10x | | (X+9)(x+1)(x-4)=0 | | 23=4y-17 |

Equations solver categories