3w^2=4w-10

Simple and best practice solution for 3w^2=4w-10 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 3w^2=4w-10 equation: 


Simplifying
3w2 = 4w + -10

Reorder the terms:
3w2 = -10 + 4w

Solving
3w2 = -10 + 4w

Solving for variable 'w'.

Reorder the terms:
10 + -4w + 3w2 = -10 + 4w + 10 + -4w

Reorder the terms:
10 + -4w + 3w2 = -10 + 10 + 4w + -4w

Combine like terms: -10 + 10 = 0
10 + -4w + 3w2 = 0 + 4w + -4w
10 + -4w + 3w2 = 4w + -4w

Combine like terms: 4w + -4w = 0
10 + -4w + 3w2 = 0

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
3.333333333 + -1.333333333w + w2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + -1.333333333w + -3.333333333 + w2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + -1.333333333w + w2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + -1.333333333w + w2 = 0 + -3.333333333
-1.333333333w + w2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
-1.333333333w + w2 = -3.333333333

The w term is -1.333333333w.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333w + 0.4444444442 + w2 = -3.333333333 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333w + w2 = -3.333333333 + 0.4444444442

Combine like terms: -3.333333333 + 0.4444444442 = -2.8888888888
0.4444444442 + -1.333333333w + w2 = -2.8888888888

Factor a perfect square on the left side:
(w + -0.6666666665)(w + -0.6666666665) = -2.8888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 9x-4=31x+16 | | 7(2p+1)=3(2+x) | | 5--6-= | | (3x-3)(x+4)=0 | | 5x-6=-2x | | x+3(-9)-x+2(2)=4x^2+12x+24 | | (5x+8)(7x-2)= | | 3x+11y=100 | | 6-5-= | | 3x+11y=20 | | (Y-7)-(7y-4)= | | 5(4a+2)-6(a+4)=-14 | | (-2.14)p=-3 | | 3(3+4x)-2=79 | | 0.66t=18 | | 6(g*g)(g-8)=0 | | 18+n=37 | | 8=-3(n-4)+4(n-1) | | 5*5*5-3(2*2*2*2-3*5)= | | 5x-4(x+3)=-11 | | X^2-8x+16=-9 | | 9x^2-15x^2= | | -16+x= | | 2x+6=x-5 | | 3a+5a+10a=72 | | 2(3z-5)-6= | | 2x+3(5)=3(x+10) | | 10cos(x)+5sin^2(x)=0 | | 8-4(a+2)-a= | | 4m(2m+9(m*m)-6)=0 | | 3(2x-3)-14= | | 2k(k+5)=-35 |

Equations solver categories