x^2+14x=-49

Simple and best practice solution for x^2+14x=-49 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+14x=-49 equation:


Simplifying
x2 + 14x = -49

Reorder the terms:
14x + x2 = -49

Solving
14x + x2 = -49

Solving for variable 'x'.

Reorder the terms:
49 + 14x + x2 = -49 + 49

Combine like terms: -49 + 49 = 0
49 + 14x + x2 = 0

Factor a trinomial.
(7 + x)(7 + x) = 0

Subproblem 1

Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7

Subproblem 2

Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7

Solution

x = {-7, -7}

See similar equations:

| 53-6x=3x+24 | | -5+5x-10=10x+10 | | 8-7x=140-35x | | 2t-22=-40+8t | | m=1/3,(5,-9) | | 4n/5=20 | | 9x-25=-65+x | | 3p/5=12 | | y+1/3=y-9/2 | | 5(a+4)= | | m=-2,(3,4) | | 5b/7=35 | | x/2-7=8 | | 3z/4=27 | | (-8x^2+4)/(2x^2+1)^2 | | b^4+3b^3-27b-81=0 | | 26+2p=16 | | 34+6n=52 | | z^4-45z^2=-4 | | x+56=34 | | z^4-13z^236=0 | | 12x^2-52x+40=0 | | 12-4c=-8 | | a/9w=-8 | | 6,5x=0,13 | | x+14,1=29 | | (4p)^10/(4p)^7 | | x-18,3=9,87 | | 4/5=x/15 | | 18=x-9 | | x+7,3=14,2 | | x^2-3x+-28=0 |

Equations solver categories