(w-3)(w-3)=9-2w

Simple and best practice solution for (w-3)(w-3)=9-2w 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)(w-3)=9-2w equation: 


Simplifying
(w + -3)(w + -3) = 9 + -2w

Reorder the terms:
(-3 + w)(w + -3) = 9 + -2w

Reorder the terms:
(-3 + w)(-3 + w) = 9 + -2w

Multiply (-3 + w) * (-3 + w)
(-3(-3 + w) + w(-3 + w)) = 9 + -2w
((-3 * -3 + w * -3) + w(-3 + w)) = 9 + -2w
((9 + -3w) + w(-3 + w)) = 9 + -2w
(9 + -3w + (-3 * w + w * w)) = 9 + -2w
(9 + -3w + (-3w + w2)) = 9 + -2w

Combine like terms: -3w + -3w = -6w
(9 + -6w + w2) = 9 + -2w

Add '-9' to each side of the equation.
9 + -6w + -9 + w2 = 9 + -9 + -2w

Reorder the terms:
9 + -9 + -6w + w2 = 9 + -9 + -2w

Combine like terms: 9 + -9 = 0
0 + -6w + w2 = 9 + -9 + -2w
-6w + w2 = 9 + -9 + -2w

Combine like terms: 9 + -9 = 0
-6w + w2 = 0 + -2w
-6w + w2 = -2w

Solving
-6w + w2 = -2w

Solving for variable 'w'.

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

Combine like terms: -6w + 2w = -4w
-4w + w2 = -2w + 2w

Combine like terms: -2w + 2w = 0
-4w + w2 = 0

Factor out the Greatest Common Factor (GCF), 'w'.
w(-4 + w) = 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 '(-4 + w)' equal to zero and attempt to solve:

Simplifying
-4 + w = 0

Solving
-4 + w = 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 + w = 0 + 4

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

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

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

See similar equations:

| (X+1)(k-5)=0 | | 9u+3=8u-4 | | (-6x+7)+(19x-1)= | | 4x^2+25x+21=y | | ln(x)-ln(x-2)=ln(3) | | -4=4(w+5)-7w | | sen(2x)-2cos(x)=0 | | 10+8=3-3x | | 6(x+4)=4(2x-x)+8 | | 10x-(3x-5)=32+2(x+4) | | x^2-4x-357=0 | | 8=.83s-12 | | k^4x^2+7k^2x+12=0 | | 2x^2+8x^2=15x^2 | | 6y^2+7y+2= | | C=4.6y+1.9y | | (2-7i)(3-5i)= | | x-156=-4 | | 2(4x-3)=10(x+5) | | Tan-2pi= | | 4z-2z+13=39 | | -8x+13y=4 | | 2(x+3)=11+11 | | 0=5x^4-4x^3 | | 84/6+7=21 | | 3(2x-3)=8x+3 | | 4(-1-6x)=-4 | | 9d+8=2d+29 | | 3c+6c=53-1 | | 12x-5x=2 | | 5(x+3)=2x+28 | | 3x-8y=-9 |

Equations solver categories