3x^2-28x+64=0

Simple and best practice solution for 3x^2-28x+64=0 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^2-28x+64=0 equation: 


Simplifying
3x2 + -28x + 64 = 0

Reorder the terms:
64 + -28x + 3x2 = 0

Solving
64 + -28x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -1x)(16 + -3x) = 0


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

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

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

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

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

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

Simplifying
x = 4

Subproblem 2
Set the factor '(16 + -3x)' equal to zero and attempt to solve:

Simplifying
16 + -3x = 0

Solving
16 + -3x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -3x = 0 + -16

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

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

Divide each side by '-3'.
x = 5.333333333

Simplifying
x = 5.333333333
Solution
x = {4, 5.333333333}

See similar equations:

| 2x-1=-8+10x | | F(x)=ln(5x-10) | | -94.33-0.22y+y=999 | | x^2-8x(x-3)=0 | | 16x+15y=2 | | -6(a-3)=9 | | 5x+8y=6490 | | -6(a-3)=a | | 9(9x-5)=8 | | 25x+12y=136 | | cos(2x)*sin^2(x)=0 | | cos*(2*x)*sen^2(x)=0 | | (x/6)=(3/15) | | (18mn^4)(-1/6mn^2 | | 9x-1/6 | | 2n/5=10 | | a(5)+b(6)+c(7)= | | 14(x/2) | | -9x-2y=849 | | 54y+180=45x | | X-sqart(19-2x)=2 | | 54y-180=45x | | log^3(9x+7)=2 | | Ax-y=w | | b+16=31 | | 5a+2=2a+14 | | -12(3-x)=60 | | 5n-23+2n=5 | | log(5x+9)=1+log(x-3) | | x^2+(2m+3)x+m+1=0 | | 7.8(-5.2)= | | 7.8x(-5.2)= |

Equations solver categories