(x+2)+(2x+1)+(x^2-3x)+(x-5)=54

Simple and best practice solution for (x+2)+(2x+1)+(x^2-3x)+(x-5)=54 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)+(2x+1)+(x^2-3x)+(x-5)=54 equation: 


Simplifying
(x + 2) + (2x + 1) + (x2 + -3x) + (x + -5) = 54

Reorder the terms:
(2 + x) + (2x + 1) + (x2 + -3x) + (x + -5) = 54

Remove parenthesis around (2 + x)
2 + x + (2x + 1) + (x2 + -3x) + (x + -5) = 54

Reorder the terms:
2 + x + (1 + 2x) + (x2 + -3x) + (x + -5) = 54

Remove parenthesis around (1 + 2x)
2 + x + 1 + 2x + (x2 + -3x) + (x + -5) = 54

Reorder the terms:
2 + x + 1 + 2x + (-3x + x2) + (x + -5) = 54

Remove parenthesis around (-3x + x2)
2 + x + 1 + 2x + -3x + x2 + (x + -5) = 54

Reorder the terms:
2 + x + 1 + 2x + -3x + x2 + (-5 + x) = 54

Remove parenthesis around (-5 + x)
2 + x + 1 + 2x + -3x + x2 + -5 + x = 54

Reorder the terms:
2 + 1 + -5 + x + 2x + -3x + x + x2 = 54

Combine like terms: 2 + 1 = 3
3 + -5 + x + 2x + -3x + x + x2 = 54

Combine like terms: 3 + -5 = -2
-2 + x + 2x + -3x + x + x2 = 54

Combine like terms: x + 2x = 3x
-2 + 3x + -3x + x + x2 = 54

Combine like terms: 3x + -3x = 0
-2 + 0 + x + x2 = 54
-2 + x + x2 = 54

Solving
-2 + x + x2 = 54

Solving for variable 'x'.

Reorder the terms:
-2 + -54 + x + x2 = 54 + -54

Combine like terms: -2 + -54 = -56
-56 + x + x2 = 54 + -54

Combine like terms: 54 + -54 = 0
-56 + x + x2 = 0

Factor a trinomial.
(-8 + -1x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

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 = {-8, 7}

See similar equations:

| -6w+1=-1 | | 2.5x+8=2x+13 | | -5x=28 | | 75(5x-4)=12 | | 0.75(8z-12)=0.67(36z+12) | | Y=6x^2-12x+9 | | v^2-2v-3=5 | | b^2+b-62=0 | | f(x)=36x-12 | | 9p+3p+4p+8= | | 3k-7/5-0.7=0.22 | | 7.2x=137 | | 13x^2=8x | | (x+2)(2x+1)(x^2-3x)(x-5)=54 | | Y+5=-5(x+1) | | .03(k-0.2)=0.6 | | 70+(y+10)=180 | | 2.5(2c+18)=0.2(25c+30) | | 6v=8-v | | 6x-4=2(3x-3) | | 7x-1=2(x+3)-2 | | -cos^2x/cos(-x) | | 7x-3x=-13 | | ln(x^2-1)=ln(x+1)+ln(x) | | (-2,-9),m=-7/5 | | f(1)*f(-2)= | | 11x-7=15x-15-4x | | 3x+4(x-1)=5(x-7) | | -7/12z=14 | | 4x^2+2y=6 | | 27-3x=4x+13 | | h(t)=-15t^2+210t+4 |

Equations solver categories