If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3y2 + 22y + 60 = 74y + -48 Reorder the terms: 60 + 22y + 3y2 = 74y + -48 Reorder the terms: 60 + 22y + 3y2 = -48 + 74y Solving 60 + 22y + 3y2 = -48 + 74y Solving for variable 'y'. Reorder the terms: 60 + 48 + 22y + -74y + 3y2 = -48 + 74y + 48 + -74y Combine like terms: 60 + 48 = 108 108 + 22y + -74y + 3y2 = -48 + 74y + 48 + -74y Combine like terms: 22y + -74y = -52y 108 + -52y + 3y2 = -48 + 74y + 48 + -74y Reorder the terms: 108 + -52y + 3y2 = -48 + 48 + 74y + -74y Combine like terms: -48 + 48 = 0 108 + -52y + 3y2 = 0 + 74y + -74y 108 + -52y + 3y2 = 74y + -74y Combine like terms: 74y + -74y = 0 108 + -52y + 3y2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 36 + -17.33333333y + y2 = 0 Move the constant term to the right: Add '-36' to each side of the equation. 36 + -17.33333333y + -36 + y2 = 0 + -36 Reorder the terms: 36 + -36 + -17.33333333y + y2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -17.33333333y + y2 = 0 + -36 -17.33333333y + y2 = 0 + -36 Combine like terms: 0 + -36 = -36 -17.33333333y + y2 = -36 The y term is -17.33333333y. Take half its coefficient (-8.666666665). Square it (75.11111108) and add it to both sides. Add '75.11111108' to each side of the equation. -17.33333333y + 75.11111108 + y2 = -36 + 75.11111108 Reorder the terms: 75.11111108 + -17.33333333y + y2 = -36 + 75.11111108 Combine like terms: -36 + 75.11111108 = 39.11111108 75.11111108 + -17.33333333y + y2 = 39.11111108 Factor a perfect square on the left side: (y + -8.666666665)(y + -8.666666665) = 39.11111108 Calculate the square root of the right side: 6.253887677 Break this problem into two subproblems by setting (y + -8.666666665) equal to 6.253887677 and -6.253887677.Subproblem 1
y + -8.666666665 = 6.253887677 Simplifying y + -8.666666665 = 6.253887677 Reorder the terms: -8.666666665 + y = 6.253887677 Solving -8.666666665 + y = 6.253887677 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8.666666665' to each side of the equation. -8.666666665 + 8.666666665 + y = 6.253887677 + 8.666666665 Combine like terms: -8.666666665 + 8.666666665 = 0.000000000 0.000000000 + y = 6.253887677 + 8.666666665 y = 6.253887677 + 8.666666665 Combine like terms: 6.253887677 + 8.666666665 = 14.920554342 y = 14.920554342 Simplifying y = 14.920554342Subproblem 2
y + -8.666666665 = -6.253887677 Simplifying y + -8.666666665 = -6.253887677 Reorder the terms: -8.666666665 + y = -6.253887677 Solving -8.666666665 + y = -6.253887677 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8.666666665' to each side of the equation. -8.666666665 + 8.666666665 + y = -6.253887677 + 8.666666665 Combine like terms: -8.666666665 + 8.666666665 = 0.000000000 0.000000000 + y = -6.253887677 + 8.666666665 y = -6.253887677 + 8.666666665 Combine like terms: -6.253887677 + 8.666666665 = 2.412778988 y = 2.412778988 Simplifying y = 2.412778988Solution
The solution to the problem is based on the solutions from the subproblems. y = {14.920554342, 2.412778988}
| 16x^2-128x+252=0 | | 11x-19y=-2 | | 0=5n^2-39n-42 | | 3(-8x+5)=-32x-26 | | (18x+9k)+(2x+6k)=4 | | x^2+7x-27=0 | | -x/5+6=-9 | | 7+x=-33 | | 50=9-r | | x+-5=37 | | f(-3)=0.288571429(-3)+4 | | f(3)=0.288571429(3)+4 | | (x-y^2x)dx+(-yx^2+y)dy=0 | | f(2)=0.288571429(2)+4 | | g(-3)=0.4(-3)+7 | | g(3)=0.4(3)+7 | | 2/3(5/8)-1= | | g(2)=0.4(2)+7 | | 2x+5y=18000 | | 2/3y-1=1/4 | | 24=2(1+.25l)+2l | | h(-3)=0.75(-3)-4 | | h(3)=0.75(3)-4 | | h(2)=0.75(2)-4 | | 2D-4d+d=-18 | | h(2)=3/4(2)-4 | | h=5+37t+-16t^2 | | 4x+6+6x-6=7x+4 | | 7B+4b=88 | | 8x+32=84 | | f(-3)=0.33(-3)-2 | | 3x-(7x+9)=9x-48 |