w^3-2w^2-2w+7=6w+7

Simple and best practice solution for w^3-2w^2-2w+7=6w+7 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 w^3-2w^2-2w+7=6w+7 equation: 


Simplifying
w3 + -2w2 + -2w + 7 = 6w + 7

Reorder the terms:
7 + -2w + -2w2 + w3 = 6w + 7

Reorder the terms:
7 + -2w + -2w2 + w3 = 7 + 6w

Add '-7' to each side of the equation.
7 + -2w + -2w2 + -7 + w3 = 7 + -7 + 6w

Reorder the terms:
7 + -7 + -2w + -2w2 + w3 = 7 + -7 + 6w

Combine like terms: 7 + -7 = 0
0 + -2w + -2w2 + w3 = 7 + -7 + 6w
-2w + -2w2 + w3 = 7 + -7 + 6w

Combine like terms: 7 + -7 = 0
-2w + -2w2 + w3 = 0 + 6w
-2w + -2w2 + w3 = 6w

Solving
-2w + -2w2 + w3 = 6w

Solving for variable 'w'.

Reorder the terms:
-2w + -6w + -2w2 + w3 = 6w + -6w

Combine like terms: -2w + -6w = -8w
-8w + -2w2 + w3 = 6w + -6w

Combine like terms: 6w + -6w = 0
-8w + -2w2 + w3 = 0

Factor out the Greatest Common Factor (GCF), 'w'.
w(-8 + -2w + w2) = 0

Factor a trinomial.
w((-2 + -1w)(4 + -1w)) = 0


Subproblem 1
Set the factor 'w' equal to zero and attempt to solve:

Simplifying
w = 0

Solving
w = 0

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

Simplifying
w = 0

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

Simplifying
-2 + -1w = 0

Solving
-2 + -1w = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1w = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1w = 0 + 2
-1w = 0 + 2

Combine like terms: 0 + 2 = 2
-1w = 2

Divide each side by '-1'.
w = -2

Simplifying
w = -2

Subproblem 3
Set the factor '(4 + -1w)' equal to zero and attempt to solve:

Simplifying
4 + -1w = 0

Solving
4 + -1w = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1w = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1w = 0 + -4
-1w = 0 + -4

Combine like terms: 0 + -4 = -4
-1w = -4

Divide each side by '-1'.
w = 4

Simplifying
w = 4
Solution
w = {0, -2, 4}

See similar equations:

| 10f+7=-1 | | h(8+h)(2-h)=96 | | -6a+2=14 | | 4+b=-20-8 | | 12x^3-8x=0 | | 10h+9=-9 | | y^2+9=33 | | x^3-18x^2+81x=0 | | 16x-8=0 | | 10+9=-9 | | 143-(6x+4)=6(x+8)+x | | 8x-(4x+6)=2 | | 18t+3=24 | | 2x^2+23x+54=-9 | | 3(4+c)=2(c-5) | | -5d-24=-4(d-6)+2d | | 2.1666666667+x=6 | | 49-19=5(x-8) | | 5y=-24 | | -7(x+4)-12=20+3 | | 13x+7=23 | | 2x^2-50x+312=0 | | 8-3x=15+4x | | 16x^2-24x=0 | | n^2-4=11n | | -3y-12=6y+42 | | 5+-8=3t+12 | | w^2-3w-10=0 | | 5+8=3t+12 | | 125x^3+8=0 | | 3x^2+13=88 | | 3y+2=-10 |

Equations solver categories