0=3x^2-5x+4

Simple and best practice solution for 0=3x^2-5x+4 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 0=3x^2-5x+4 equation: 


Simplifying
0 = 3x2 + -5x + 4

Reorder the terms:
0 = 4 + -5x + 3x2

Solving
0 = 4 + -5x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + -4 = -4
-4 + 5x + -3x2 = 4 + -5x + 3x2 + -4 + 5x + -3x2

Reorder the terms:
-4 + 5x + -3x2 = 4 + -4 + -5x + 5x + 3x2 + -3x2

Combine like terms: 4 + -4 = 0
-4 + 5x + -3x2 = 0 + -5x + 5x + 3x2 + -3x2
-4 + 5x + -3x2 = -5x + 5x + 3x2 + -3x2

Combine like terms: -5x + 5x = 0
-4 + 5x + -3x2 = 0 + 3x2 + -3x2
-4 + 5x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-4 + 5x + -3x2 = 0

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

Divide each side by '-3'.
1.333333333 + -1.666666667x + x2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + -1.666666667x + -1.333333333 + x2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + -1.666666667x + x2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -1.666666667x + x2 = 0 + -1.333333333
-1.666666667x + x2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
-1.666666667x + x2 = -1.333333333

The x term is -1.666666667x.  Take half its coefficient (-0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
-1.666666667x + 0.6944444447 + x2 = -1.333333333 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667x + x2 = -1.333333333 + 0.6944444447

Combine like terms: -1.333333333 + 0.6944444447 = -0.6388888883
0.6944444447 + -1.666666667x + x2 = -0.6388888883

Factor a perfect square on the left side:
(x + -0.8333333335)(x + -0.8333333335) = -0.6388888883

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 29=8+7(d-6) | | 460-x(5)=500 | | 5(3-7f)=-15 | | -3(3x-2)=-1 | | 0.25(8z-4)=2z | | x+3(x+2)=5x-3 | | 3x^2-5x+6.25=2.25 | | 4+7(1-5h)=22 | | 11m+2=9m-2 | | a/9=-4 | | 2(4-x)=4x+24 | | .6a+9=14.4 | | -16=8v-6v | | (4x+5)=3(x+8)+3 | | 6q-18=qr | | x+.065x=4.60 | | 3(1+2a)=3+6a | | -5(1+3y)=19 | | -7y=-91 | | -5(4c+6)=24 | | 4x+12(x-3)=28 | | 5x-9y=35 | | .5x+7=21 | | 7=7+59x | | 3x+5-2x=12 | | x-.15x=517.65 | | 0.1x^2-0.2x-0.5=0 | | 5x+9x-42=105-7x | | a(q-8)=23 | | -5x+9x-42=105-7x | | 8x-20=6x+6 | | (12)+(4x)=6(2x) |

Equations solver categories