3x^2-16x=-46

Simple and best practice solution for 3x^2-16x=-46 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 3x^2-16x=-46 equation: 


Simplifying
3x2 + -16x = -46

Reorder the terms:
-16x + 3x2 = -46

Solving
-16x + 3x2 = -46

Solving for variable 'x'.

Reorder the terms:
46 + -16x + 3x2 = -46 + 46

Combine like terms: -46 + 46 = 0
46 + -16x + 3x2 = 0

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

Divide each side by '3'.
15.33333333 + -5.333333333x + x2 = 0

Move the constant term to the right:

Add '-15.33333333' to each side of the equation.
15.33333333 + -5.333333333x + -15.33333333 + x2 = 0 + -15.33333333

Reorder the terms:
15.33333333 + -15.33333333 + -5.333333333x + x2 = 0 + -15.33333333

Combine like terms: 15.33333333 + -15.33333333 = 0.00000000
0.00000000 + -5.333333333x + x2 = 0 + -15.33333333
-5.333333333x + x2 = 0 + -15.33333333

Combine like terms: 0 + -15.33333333 = -15.33333333
-5.333333333x + x2 = -15.33333333

The x term is -5.333333333x.  Take half its coefficient (-2.666666667).
Square it (7.111111113) and add it to both sides.

Add '7.111111113' to each side of the equation.
-5.333333333x + 7.111111113 + x2 = -15.33333333 + 7.111111113

Reorder the terms:
7.111111113 + -5.333333333x + x2 = -15.33333333 + 7.111111113

Combine like terms: -15.33333333 + 7.111111113 = -8.222222217
7.111111113 + -5.333333333x + x2 = -8.222222217

Factor a perfect square on the left side:
(x + -2.666666667)(x + -2.666666667) = -8.222222217

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 4x+7=11x-9 | | 3(x+5)=16 | | a+6.2-5.9=1.3+3.7 | | 3(3x-9)=9(x-3) | | t-5.3+2.8=9.5-11.2 | | 3x^2+7x-8=0 | | X^2=-x+30 | | 8x+3=3(2x+1)-x+7 | | x-(-13)+18=8-(-9) | | t/8=0 | | 24-11+k=27-30 | | r-17=14-16 | | 7y+3-5y=-7 | | 100=5*2*h | | 12s^2+29s-8=0 | | w-9-(-1)=3 | | k(x)=7x^2-11x | | v^2-5v-24=0 | | 5x^2-32x-252=0 | | -3x-6=-18 | | j(x)=4x^2+36x | | x+4=-1+8 | | y=2x^2-8x+6 | | p(x)=45x^2-20x | | m-3=7-11 | | g(x)=-3w^2+21w | | h^3-8h^2+19h-12=0 | | (X-4)(2x-1)=0 | | j-14+20=25 | | Y=x^2+4x-3 | | q(x)=3x-9x^2 | | p(x)=6x^2+12x |

Equations solver categories