4x^2-12x+19=0

Simple and best practice solution for 4x^2-12x+19=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 4x^2-12x+19=0 equation:


Simplifying
4x2 + -12x + 19 = 0

Reorder the terms:
19 + -12x + 4x2 = 0

Solving
19 + -12x + 4x2 = 0

Solving for variable 'x'.

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

Divide each side by '4'.
4.75 + -3x + x2 = 0

Move the constant term to the right:

Add '-4.75' to each side of the equation.
4.75 + -3x + -4.75 + x2 = 0 + -4.75

Reorder the terms:
4.75 + -4.75 + -3x + x2 = 0 + -4.75

Combine like terms: 4.75 + -4.75 = 0.00
0.00 + -3x + x2 = 0 + -4.75
-3x + x2 = 0 + -4.75

Combine like terms: 0 + -4.75 = -4.75
-3x + x2 = -4.75

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -4.75 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -4.75 + 2.25

Combine like terms: -4.75 + 2.25 = -2.5
2.25 + -3x + x2 = -2.5

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -2.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| b-25=6(1-4b)-6b | | -0.1x^2+500x= | | 3x^2-12x-27=0 | | x+17=2(3x+1) | | 16=4(6x+3) | | 3x^2+6X+27=0 | | x=x^2-5x+9 | | 6x+4x-10=0 | | (5+3i)x-(2+5i)y=11-i | | (7+w)(5w+9)=0 | | -5(n-6)=n+18 | | 10*6=x | | 0=(5y-2)(5y+2) | | y^3+4y^2-36y-144=0 | | 4x^2-19x-5x=0 | | 40y^2+2y-2= | | 3x^4-81=0 | | 4w^3+3w^8-28w-21=0 | | y^4=36 | | 7(x+4)=6(x-5)+x | | 10+2p=p+7 | | 0=2x^3-2 | | (3+y)(4y+9)=0 | | 7+(-11)=0 | | (u+1)(u-8)=0 | | 8(4-x)+6p=-5k-11yx | | 8x^3=8x^2-6x | | 9u^2-49=0 | | 1/15(a+5)=1/9(4-a) | | -5-7-3f=-2(f+6) | | 3x^3+18x^2+27x= | | 11x^2-7x-40=0 |

Equations solver categories