x^2+10x-70=0

Simple and best practice solution for x^2+10x-70=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-70=0 equation: 


Simplifying
x2 + 10x + -70 = 0

Reorder the terms:
-70 + 10x + x2 = 0

Solving
-70 + 10x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '70' to each side of the equation.
-70 + 10x + 70 + x2 = 0 + 70

Reorder the terms:
-70 + 70 + 10x + x2 = 0 + 70

Combine like terms: -70 + 70 = 0
0 + 10x + x2 = 0 + 70
10x + x2 = 0 + 70

Combine like terms: 0 + 70 = 70
10x + x2 = 70

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 = 70 + 25

Reorder the terms:
25 + 10x + x2 = 70 + 25

Combine like terms: 70 + 25 = 95
25 + 10x + x2 = 95

Factor a perfect square on the left side:
(x + 5)(x + 5) = 95

Calculate the square root of the right side: 9.746794345

Break this problem into two subproblems by setting 
(x + 5) equal to 9.746794345 and -9.746794345.


Subproblem 1
x + 5 = 9.746794345

Simplifying
x + 5 = 9.746794345

Reorder the terms:
5 + x = 9.746794345

Solving
5 + x = 9.746794345

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 = 9.746794345 + -5

Combine like terms: 5 + -5 = 0
0 + x = 9.746794345 + -5
x = 9.746794345 + -5

Combine like terms: 9.746794345 + -5 = 4.746794345
x = 4.746794345

Simplifying
x = 4.746794345


Subproblem 2
x + 5 = -9.746794345

Simplifying
x + 5 = -9.746794345

Reorder the terms:
5 + x = -9.746794345

Solving
5 + x = -9.746794345

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 = -9.746794345 + -5

Combine like terms: 5 + -5 = 0
0 + x = -9.746794345 + -5
x = -9.746794345 + -5

Combine like terms: -9.746794345 + -5 = -14.746794345
x = -14.746794345

Simplifying
x = -14.746794345


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.746794345, -14.746794345}

See similar equations:

| 18-3y=3(6-y) | | ln(3x-2)=ln(40) | | x+2y^2-4y+2=0 | | logx(16)=3 | | 8y=24-48x | | ln(3x-2)= | | 10+6x=2x-6 | | 6h+2=26 | | 35+60+65+50=180 | | -1.5y+5=-4 | | 100[0.09(n+3)]= | | lnx=-1.7 | | x+2x+3=4x-12 | | 2p+2.5=-6 | | 245x+510=2 | | 2n-6n+3(n+5n)=9 | | (80000)*0.5= | | 8y=12+7x | | 4.5-8.7=2x+2 | | -3m-3.8=-0.2 | | -7=12n-11-4n | | 5x(3+6x)=7+12 | | 110=x+x+100 | | 3x-4+5x-26=JL | | Log[2](5-6x)+1=5 | | 0=-16t^2+2t+3 | | 79=-13+4n | | -25y=-50 | | 5y-27=23 | | 5h+2-h=2 | | -x+2=2x+11 | | Sin^2=0.5sinx |

Equations solver categories