x^2-7x-16=-6x+4

Simple and best practice solution for x^2-7x-16=-6x+4 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^2-7x-16=-6x+4 equation: 


Simplifying
x2 + -7x + -16 = -6x + 4

Reorder the terms:
-16 + -7x + x2 = -6x + 4

Reorder the terms:
-16 + -7x + x2 = 4 + -6x

Solving
-16 + -7x + x2 = 4 + -6x

Solving for variable 'x'.

Reorder the terms:
-16 + -4 + -7x + 6x + x2 = 4 + -6x + -4 + 6x

Combine like terms: -16 + -4 = -20
-20 + -7x + 6x + x2 = 4 + -6x + -4 + 6x

Combine like terms: -7x + 6x = -1x
-20 + -1x + x2 = 4 + -6x + -4 + 6x

Reorder the terms:
-20 + -1x + x2 = 4 + -4 + -6x + 6x

Combine like terms: 4 + -4 = 0
-20 + -1x + x2 = 0 + -6x + 6x
-20 + -1x + x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
-20 + -1x + x2 = 0

Factor a trinomial.
(-4 + -1x)(5 + -1x) = 0


Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-4, 5}

See similar equations:

| 8x+9x=342 | | 4x+161=10x-7 | | x^2-3x+1=3 | | X^2-3x-1=3 | | 6x-18=4x+12 | | 2(x+1)-4(x-6)= | | 20y+4=22y-4 | | 21x^2+26x+8=0 | | 20y+4+22y-4=90 | | 94-4x=23x+19 | | 93+g=117 | | 39=z+8 | | 3x-(10-x)= | | 20y+4+10y+2=90 | | 56-r=8 | | p-29=78 | | 20y+4=10y+2 | | 45+c=91 | | 110=a+25 | | h+15=81 | | 111-4x=3x+20 | | 84=v+30 | | e-35=59 | | 4n-(6-3n)= | | 95=g-340 | | 4m-4-4m= | | w-24=90 | | 32+d=1400 | | y^2+38=14y | | 3x*5y=180 | | b-49=254 | | 3x*5y=180equation |

Equations solver categories