If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 21y2 + -70y + 40 = 0 Reorder the terms: 40 + -70y + 21y2 = 0 Solving 40 + -70y + 21y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 21 the coefficient of the squared term: Divide each side by '21'. 1.904761905 + -3.333333333y + y2 = 0 Move the constant term to the right: Add '-1.904761905' to each side of the equation. 1.904761905 + -3.333333333y + -1.904761905 + y2 = 0 + -1.904761905 Reorder the terms: 1.904761905 + -1.904761905 + -3.333333333y + y2 = 0 + -1.904761905 Combine like terms: 1.904761905 + -1.904761905 = 0.000000000 0.000000000 + -3.333333333y + y2 = 0 + -1.904761905 -3.333333333y + y2 = 0 + -1.904761905 Combine like terms: 0 + -1.904761905 = -1.904761905 -3.333333333y + y2 = -1.904761905 The y term is -3.333333333y. Take half its coefficient (-1.666666667). Square it (2.777777779) and add it to both sides. Add '2.777777779' to each side of the equation. -3.333333333y + 2.777777779 + y2 = -1.904761905 + 2.777777779 Reorder the terms: 2.777777779 + -3.333333333y + y2 = -1.904761905 + 2.777777779 Combine like terms: -1.904761905 + 2.777777779 = 0.873015874 2.777777779 + -3.333333333y + y2 = 0.873015874 Factor a perfect square on the left side: (y + -1.666666667)(y + -1.666666667) = 0.873015874 Calculate the square root of the right side: 0.934353185 Break this problem into two subproblems by setting (y + -1.666666667) equal to 0.934353185 and -0.934353185.Subproblem 1
y + -1.666666667 = 0.934353185 Simplifying y + -1.666666667 = 0.934353185 Reorder the terms: -1.666666667 + y = 0.934353185 Solving -1.666666667 + y = 0.934353185 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1.666666667' to each side of the equation. -1.666666667 + 1.666666667 + y = 0.934353185 + 1.666666667 Combine like terms: -1.666666667 + 1.666666667 = 0.000000000 0.000000000 + y = 0.934353185 + 1.666666667 y = 0.934353185 + 1.666666667 Combine like terms: 0.934353185 + 1.666666667 = 2.601019852 y = 2.601019852 Simplifying y = 2.601019852Subproblem 2
y + -1.666666667 = -0.934353185 Simplifying y + -1.666666667 = -0.934353185 Reorder the terms: -1.666666667 + y = -0.934353185 Solving -1.666666667 + y = -0.934353185 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1.666666667' to each side of the equation. -1.666666667 + 1.666666667 + y = -0.934353185 + 1.666666667 Combine like terms: -1.666666667 + 1.666666667 = 0.000000000 0.000000000 + y = -0.934353185 + 1.666666667 y = -0.934353185 + 1.666666667 Combine like terms: -0.934353185 + 1.666666667 = 0.732313482 y = 0.732313482 Simplifying y = 0.732313482Solution
The solution to the problem is based on the solutions from the subproblems. y = {2.601019852, 0.732313482}
| 5x^2-27x+16=0 | | 4x^2+y^2-40x+6y+93=0 | | 24m^2-32m+8= | | 2a(3a-4)-3a(a-7)= | | 100m^2-n^2=0 | | 14n^2+23n-15= | | 12d^2-d-20= | | (2+x)+y=2+(x+y) | | 5k^2-2k-7= | | 13p^2+8p-5= | | 3x-12y=0 | | 14+14+14+14-10=80-10-70 | | p^2-p-20=0 | | 7x^2-20x-3= | | 2x^2-x+3=3x+7 | | 2q^2-11q-21= | | 3x^2+2x=x^2+x+1 | | -1x^2+3x-4=2 | | 6x-10=70 | | -2x^2-2x+(-1)=0 | | m^2-15m+36=0 | | 10x+6x=30 | | 2x^2-2x+(-1)=0 | | -2x^2-4x-1=0 | | 3x^2+x+(-4)=0 | | x+(x+47)+(x+49)=144 | | x(3+4)=x(-2+5) | | t^2-7+12=0 | | 5w-13w=32 | | 3y+6y+9= | | x^2-(-x)=-7 | | 10w^2+11w-8=0 |