x^2-16x+37=-2x+4

Simple and best practice solution for x^2-16x+37=-2x+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^2-16x+37=-2x+4 equation: 


Simplifying
x2 + -16x + 37 = -2x + 4

Reorder the terms:
37 + -16x + x2 = -2x + 4

Reorder the terms:
37 + -16x + x2 = 4 + -2x

Solving
37 + -16x + x2 = 4 + -2x

Solving for variable 'x'.

Reorder the terms:
37 + -4 + -16x + 2x + x2 = 4 + -2x + -4 + 2x

Combine like terms: 37 + -4 = 33
33 + -16x + 2x + x2 = 4 + -2x + -4 + 2x

Combine like terms: -16x + 2x = -14x
33 + -14x + x2 = 4 + -2x + -4 + 2x

Reorder the terms:
33 + -14x + x2 = 4 + -4 + -2x + 2x

Combine like terms: 4 + -4 = 0
33 + -14x + x2 = 0 + -2x + 2x
33 + -14x + x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
33 + -14x + x2 = 0

Factor a trinomial.
(3 + -1x)(11 + -1x) = 0


Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {3, 11}

See similar equations:

| 2(2x+0.3)+2(5x+1.3)=2(4x-0.1) | | -2x^2+3x-2=9 | | r-2-4r=-38 | | 3x+2(-2.5x-2)=0 | | -48+28y+4=6(5y-4)-6 | | -3x+5+8x=35 | | x^2+7x+20=8 | | X^3-4x^2+x+4=0 | | 38+x=100 | | 0.83x-.5=4 | | N+90=120 | | z^8-22z^4=75 | | 2a-7-(5+6a)= | | (2m+3n)(4m+6n)=0 | | x^2+1.67x-14.8346=0 | | 2+10a+-9=3a | | -71=9+8N | | 2.5=5n | | 2-wx=vx+1 | | 16y^4-36=0 | | 3(1+x)-x=7 | | 15n-30=150 | | 5x-7y+2y-9y+5y= | | F(8)=3x+7 | | x^3+6x^2+2x-12=0 | | 5x^2+13+x+6=0 | | 5-3x-9-2x= | | x^2+1.67x-10.296=0 | | 36-12+x^2=0 | | c^2-2cx=6x+9 | | -9h-2h=-20 | | 5(x-4)=x |

Equations solver categories