x^2-7x+38=5x+3

Simple and best practice solution for x^2-7x+38=5x+3 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+38=5x+3 equation: 


Simplifying
x2 + -7x + 38 = 5x + 3

Reorder the terms:
38 + -7x + x2 = 5x + 3

Reorder the terms:
38 + -7x + x2 = 3 + 5x

Solving
38 + -7x + x2 = 3 + 5x

Solving for variable 'x'.

Reorder the terms:
38 + -3 + -7x + -5x + x2 = 3 + 5x + -3 + -5x

Combine like terms: 38 + -3 = 35
35 + -7x + -5x + x2 = 3 + 5x + -3 + -5x

Combine like terms: -7x + -5x = -12x
35 + -12x + x2 = 3 + 5x + -3 + -5x

Reorder the terms:
35 + -12x + x2 = 3 + -3 + 5x + -5x

Combine like terms: 3 + -3 = 0
35 + -12x + x2 = 0 + 5x + -5x
35 + -12x + x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
35 + -12x + x2 = 0

Factor a trinomial.
(5 + -1x)(7 + -1x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {5, 7}

See similar equations:

| -x-29=13+13 | | 49=4x-15+2x+10 | | 12+4(z-3)=3z+1 | | 4(x-1)-12=0 | | 9x+14+56=250 | | 15x-20y+7=0 | | 3v+1=v+5 | | 31(y+2)=11(y+7) | | 15x^2+7x-2=0 | | v+5=3v+1 | | x^4-x^3-x^2+16x=12 | | 4*5y=10(y+2) | | .22y-2.2=.12+1-.7y | | 2f^2+7f=9 | | -b-15=-21 | | 15y-10x=1 | | 1(b+2)=-3b | | 2x^2+5=11 | | 7x-29=-34+6x | | M+3.75=-4.15 | | A-(-12)=6 | | 9x-2=-29 | | k=9r-4 | | -6x-1=71 | | x^2-y= | | k=10r | | 2(7a-7)= | | 5(2B+3)+-4(3B+1)=19.01 | | c=8t+6 | | c=10t+6 | | (6x+45)+3x=180 | | -40x+41=14-30x+32 |

Equations solver categories