x+7+x+5+x^2-3x+3x-2=45

Simple and best practice solution for x+7+x+5+x^2-3x+3x-2=45 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+7+x+5+x^2-3x+3x-2=45 equation: 


Simplifying
x + 7 + x + 5 + x2 + -3x + 3x + -2 = 45

Reorder the terms:
7 + 5 + -2 + x + x + -3x + 3x + x2 = 45

Combine like terms: 7 + 5 = 12
12 + -2 + x + x + -3x + 3x + x2 = 45

Combine like terms: 12 + -2 = 10
10 + x + x + -3x + 3x + x2 = 45

Combine like terms: x + x = 2x
10 + 2x + -3x + 3x + x2 = 45

Combine like terms: 2x + -3x = -1x
10 + -1x + 3x + x2 = 45

Combine like terms: -1x + 3x = 2x
10 + 2x + x2 = 45

Solving
10 + 2x + x2 = 45

Solving for variable 'x'.

Reorder the terms:
10 + -45 + 2x + x2 = 45 + -45

Combine like terms: 10 + -45 = -35
-35 + 2x + x2 = 45 + -45

Combine like terms: 45 + -45 = 0
-35 + 2x + x2 = 0

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


Subproblem 1
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

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 = {-7, 5}

See similar equations:

| 2n=7n | | 60+.05x=45+.15x | | 6-(14n)=28n*378 | | T(n)=T(n-4)+2n-5 | | 7-3g=8g-15 | | 0.15y+0.07(y+7000)=1810 | | x+7+x+5+x^2-3x+3x-2=0 | | 7x-7+2-4=x-4 | | (6-14n)=(28n)*378 | | 4-4+2x=10-4 | | 5x+6=3x-22 | | 3(7+6x)-11=8-2(x-11) | | 104-x=51 | | 0.5*(3-4x)=2-0.5*(6+3x) | | M-5=-13 | | 6-14n=28n*378 | | 4=-2+4 | | 19=6+3(2m+3) | | 4m(m-2)=4-2m | | (2z-9)=0 | | (-3-2)*2-(4-8)*2-(-6)= | | lx-4l=5x+8 | | 24+6x=96-3x | | 3s-4b=26 | | 0=-2(x+5)+3 | | 15(v+3)-3v=3(4v+2)-10 | | 4h-7=14-3h | | 4-2x=-7x+4 | | 3k+9-k-17= | | -5/9x=-10 | | 9x+19=35 | | 2x+1.5y-1=4+x |

Equations solver categories