x^3-5x^2+7x-17=x^3-4x^2-3x+4

Simple and best practice solution for x^3-5x^2+7x-17=x^3-4x^2-3x+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^3-5x^2+7x-17=x^3-4x^2-3x+4 equation: 


Simplifying
x3 + -5x2 + 7x + -17 = x3 + -4x2 + -3x + 4

Reorder the terms:
-17 + 7x + -5x2 + x3 = x3 + -4x2 + -3x + 4

Reorder the terms:
-17 + 7x + -5x2 + x3 = 4 + -3x + -4x2 + x3

Add '-1x3' to each side of the equation.
-17 + 7x + -5x2 + x3 + -1x3 = 4 + -3x + -4x2 + x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-17 + 7x + -5x2 + 0 = 4 + -3x + -4x2 + x3 + -1x3
-17 + 7x + -5x2 = 4 + -3x + -4x2 + x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-17 + 7x + -5x2 = 4 + -3x + -4x2 + 0
-17 + 7x + -5x2 = 4 + -3x + -4x2

Solving
-17 + 7x + -5x2 = 4 + -3x + -4x2

Solving for variable 'x'.

Reorder the terms:
-17 + -4 + 7x + 3x + -5x2 + 4x2 = 4 + -3x + -4x2 + -4 + 3x + 4x2

Combine like terms: -17 + -4 = -21
-21 + 7x + 3x + -5x2 + 4x2 = 4 + -3x + -4x2 + -4 + 3x + 4x2

Combine like terms: 7x + 3x = 10x
-21 + 10x + -5x2 + 4x2 = 4 + -3x + -4x2 + -4 + 3x + 4x2

Combine like terms: -5x2 + 4x2 = -1x2
-21 + 10x + -1x2 = 4 + -3x + -4x2 + -4 + 3x + 4x2

Reorder the terms:
-21 + 10x + -1x2 = 4 + -4 + -3x + 3x + -4x2 + 4x2

Combine like terms: 4 + -4 = 0
-21 + 10x + -1x2 = 0 + -3x + 3x + -4x2 + 4x2
-21 + 10x + -1x2 = -3x + 3x + -4x2 + 4x2

Combine like terms: -3x + 3x = 0
-21 + 10x + -1x2 = 0 + -4x2 + 4x2
-21 + 10x + -1x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
-21 + 10x + -1x2 = 0

Factor a trinomial.
(-7 + x)(3 + -1x) = 0


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

Simplifying
-7 + x = 0

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

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

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

Simplifying
x = 7

Subproblem 2
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
Solution
x = {7, 3}

See similar equations:

| 3x-136=44-6x | | 2x+11=2x-20 | | (3x+15)+(4x+25)=180 | | 9(y-4)=-10(y+21) | | (-7.38)(-29)= | | 12=10x-8-5x | | 7(-10+5x)=245 | | 3(x-5)+2x=35 | | 5(3x-9)-8=5(x-2)+17 | | 4n+2d=22 | | Sec(x)=-4cos(x) | | -6(2x-10)=-168 | | a^3=81a | | (4x+110)=(14x) | | Secx=-4cosx | | X^3+4x^2-2x=0 | | -2(-10+2x)=24 | | (4x-110)=(14x) | | 10+-4x=24 | | (5c+7d)(c+d)=0 | | 12=1a-1a | | 12=2p+8 | | 4.2=14.7 | | 4+3Y=X | | y+3=-0.666666667(x-7) | | (3p-4q)(p+q)=0 | | -2(x-3)=5x+27 | | 45=29-2(x-4) | | -8(n-3)+2(4n-6)=3n+6+6 | | (4x+5y)(x+y)=0 | | -14+12x=13+11x | | -7(2x-5)=-133 |

Equations solver categories