x^2+14x+9=5x-5

Simple and best practice solution for x^2+14x+9=5x-5 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+9=5x-5 equation: 


Simplifying
x2 + 14x + 9 = 5x + -5

Reorder the terms:
9 + 14x + x2 = 5x + -5

Reorder the terms:
9 + 14x + x2 = -5 + 5x

Solving
9 + 14x + x2 = -5 + 5x

Solving for variable 'x'.

Reorder the terms:
9 + 5 + 14x + -5x + x2 = -5 + 5x + 5 + -5x

Combine like terms: 9 + 5 = 14
14 + 14x + -5x + x2 = -5 + 5x + 5 + -5x

Combine like terms: 14x + -5x = 9x
14 + 9x + x2 = -5 + 5x + 5 + -5x

Reorder the terms:
14 + 9x + x2 = -5 + 5 + 5x + -5x

Combine like terms: -5 + 5 = 0
14 + 9x + x2 = 0 + 5x + -5x
14 + 9x + x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
14 + 9x + x2 = 0

Factor a trinomial.
(7 + x)(2 + 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 '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {-7, -2}

See similar equations:

| 5/2y+8=18 | | 6x-2+31=115 | | 16x-8y=-4 | | 5/6x+3=-3 | | 6x-(1-x)=3x+17 | | 1*1/4-(-2)= | | 0.8w-4=4 | | x^3=-125/8 | | c=2d+1/3 | | A=2/3(a+b+3) | | 3X/4-2=2X/3+4 | | 5(1-m)=75 | | 10=-18-7x | | 3*(5.66+2.33y)-7y=17 | | 4(7-x)=11 | | 3*n=5*n-36 | | (-4-4y+11)(3y-12)= | | -32=(8x/7) | | -1/4k+5/3=-5-4/3k | | 8(c+9)=7c-1 | | 0.025(x+4)=12415 | | -6m+m+10=35 | | 0.4x=7 | | (2/3)((7/8)+8x)-(3/8)=(5/8) | | 8=9x+8 | | 6+x=32 | | 6y-4=y+16 | | 4*(x-5)=3*(x+1)-15 | | 3-5+7=6-y | | 74869-54/6(706-8)-2*69= | | 2*(3+2x)=10 | | 5k+10=70 |

Equations solver categories