x^2-3x+7=x+52

Simple and best practice solution for x^2-3x+7=x+52 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^2-3x+7=x+52 equation:


Simplifying
x2 + -3x + 7 = x + 52

Reorder the terms:
7 + -3x + x2 = x + 52

Reorder the terms:
7 + -3x + x2 = 52 + x

Solving
7 + -3x + x2 = 52 + x

Solving for variable 'x'.

Reorder the terms:
7 + -52 + -3x + -1x + x2 = 52 + x + -52 + -1x

Combine like terms: 7 + -52 = -45
-45 + -3x + -1x + x2 = 52 + x + -52 + -1x

Combine like terms: -3x + -1x = -4x
-45 + -4x + x2 = 52 + x + -52 + -1x

Reorder the terms:
-45 + -4x + x2 = 52 + -52 + x + -1x

Combine like terms: 52 + -52 = 0
-45 + -4x + x2 = 0 + x + -1x
-45 + -4x + x2 = x + -1x

Combine like terms: x + -1x = 0
-45 + -4x + x2 = 0

Factor a trinomial.
(-5 + -1x)(9 + -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 '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {-5, 9}

See similar equations:

| -3+3x-1=-16 | | 5x-92=x | | 2q+54=11q | | a-9876=10000000 | | 17b+7=2b+22 | | c=3c-62 | | 28=2r | | 11u-12=12u-15 | | 7y-78=3y-2 | | 28+4n=-2+5(6+7n) | | -7x+10=64+2x | | 4y-34=y+35 | | 6k-8-1=9 | | s=2s-35 | | 22=x+2+3x | | 2c+63=143 | | 2(x-7)+4=-10 | | -6x-5=-93+5x | | 16m^3-8m^2= | | 3x+2+x=22 | | 0=-16t^2+64t-72 | | 2y=5y-93 | | 8z-10-4z=-20 | | 3(2y+3)=9y-15 | | 8(d+2)-36=2+6(1-d) | | Logx-log^3=8 | | log(4x)=9.6 | | -22=8n-1-n | | M+N=36 | | 5x+8=-5x-12 | | 2(w+7)-5w=5 | | 4(-3-5)-7(-3+8)= |

Equations solver categories