x^2+10x-29=0

Simple and best practice solution for x^2+10x-29=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-29=0 equation:


Simplifying
x2 + 10x + -29 = 0

Reorder the terms:
-29 + 10x + x2 = 0

Solving
-29 + 10x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '29' to each side of the equation.
-29 + 10x + 29 + x2 = 0 + 29

Reorder the terms:
-29 + 29 + 10x + x2 = 0 + 29

Combine like terms: -29 + 29 = 0
0 + 10x + x2 = 0 + 29
10x + x2 = 0 + 29

Combine like terms: 0 + 29 = 29
10x + x2 = 29

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 = 29 + 25

Reorder the terms:
25 + 10x + x2 = 29 + 25

Combine like terms: 29 + 25 = 54
25 + 10x + x2 = 54

Factor a perfect square on the left side:
(x + 5)(x + 5) = 54

Calculate the square root of the right side: 7.348469228

Break this problem into two subproblems by setting 
(x + 5) equal to 7.348469228 and -7.348469228.

Subproblem 1

x + 5 = 7.348469228 Simplifying x + 5 = 7.348469228 Reorder the terms: 5 + x = 7.348469228 Solving 5 + x = 7.348469228 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 = 7.348469228 + -5 Combine like terms: 5 + -5 = 0 0 + x = 7.348469228 + -5 x = 7.348469228 + -5 Combine like terms: 7.348469228 + -5 = 2.348469228 x = 2.348469228 Simplifying x = 2.348469228

Subproblem 2

x + 5 = -7.348469228 Simplifying x + 5 = -7.348469228 Reorder the terms: 5 + x = -7.348469228 Solving 5 + x = -7.348469228 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 = -7.348469228 + -5 Combine like terms: 5 + -5 = 0 0 + x = -7.348469228 + -5 x = -7.348469228 + -5 Combine like terms: -7.348469228 + -5 = -12.348469228 x = -12.348469228 Simplifying x = -12.348469228

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2.348469228, -12.348469228}

See similar equations:

| 1-ln(-2.74+1)=ln(-2.74+2) | | 125ax*x+a=0 | | 4(4k+1)-8(k-2)=3(2k+3)-2 | | 1-6m-6=7 | | 5(x-2)=x+1 | | -3.8x+2.2=-2.2x+2.6 | | 3t+5(1-2t)= | | x+9=41 | | 1-ln(-0.26+1)=ln(-0.26+2) | | (17+9)+3= | | 27y^2-39y-10=0 | | 3x-3(2x+2)=-36 | | X=25.5 | | -9(q+7)= | | -4(x+5)+5=6(x+2)+7 | | 4(2x+5)=76 | | 18-4n=10 | | b+bx=8 | | ln(x+2)+ln(x+1)=1 | | 3x+11y-9=180 | | 8y+2=9-6x | | X+72=x^2 | | x=.75x+2 | | [x+15]=4x | | 0.4-0.4(3-x)=2.4 | | 7x^2-2=13x | | -5x+9y=-13 | | 8z+7-4z=71-4z | | 7x+12=22+2 | | (20y-12)= | | 7(-9x-4-3z)= | | 5+3x=128 |

Equations solver categories