15y^2-13y+20=0

Simple and best practice solution for 15y^2-13y+20=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 15y^2-13y+20=0 equation: 


Simplifying
15y2 + -13y + 20 = 0

Reorder the terms:
20 + -13y + 15y2 = 0

Solving
20 + -13y + 15y2 = 0

Solving for variable 'y'.

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

Divide each side by '15'.
1.333333333 + -0.8666666667y + y2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + -0.8666666667y + -1.333333333 + y2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + -0.8666666667y + y2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -0.8666666667y + y2 = 0 + -1.333333333
-0.8666666667y + y2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
-0.8666666667y + y2 = -1.333333333

The y term is -0.8666666667y.  Take half its coefficient (-0.4333333334).
Square it (0.1877777778) and add it to both sides.

Add '0.1877777778' to each side of the equation.
-0.8666666667y + 0.1877777778 + y2 = -1.333333333 + 0.1877777778

Reorder the terms:
0.1877777778 + -0.8666666667y + y2 = -1.333333333 + 0.1877777778

Combine like terms: -1.333333333 + 0.1877777778 = -1.1455555552
0.1877777778 + -0.8666666667y + y2 = -1.1455555552

Factor a perfect square on the left side:
(y + -0.4333333334)(y + -0.4333333334) = -1.1455555552

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 4y-2(3y+2)=5(4-y) | | 9+2[b-4(b-2)]= | | (3x^2-4x)(6x+3)= | | 15y^2-13y+20= | | 9(x+3)-8(9x-6)=17 | | (3-x^2)(x+3x^6)= | | 10y^2+7y=12 | | (-2x^2+4x^4-8)+(-4x^3+3)-(8x^3+8x^4-6x^2)= | | -8(4x+48)+3052=-2482-18(14x-5) | | (X^2+3)(x^2+3)= | | 12k=30+2k | | 8t+52=-17+11t | | 3x-2y=50 | | (5x^2+1)(2+x^3)= | | (3x^2+5)(4-x^3)= | | -i+i= | | (4x^3+8x)(x^2-1)= | | 24x^2+5x-1=0 | | (5x^3+5x)(x^2+6)= | | 7X+12=-X+3 | | (8x+4)(x+8)= | | X(x^2+2)= | | 288x-6x^2=0 | | f=3(3x)-4 | | 20=.75x | | f=-2x-1 | | 4y-1+y+32=5y+40-3y | | f=-2(4)+7 | | -5(2p+2)-38=3(4p+6) | | -10z+50+2(5x-21)=0 | | f=10(-12)+15 | | 2[3-(5-5x)]-x=10+3(2+3x) |

Equations solver categories