If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6y2 + 7y + -15 = 10 Reorder the terms: -15 + 7y + 6y2 = 10 Solving -15 + 7y + 6y2 = 10 Solving for variable 'y'. Reorder the terms: -15 + -10 + 7y + 6y2 = 10 + -10 Combine like terms: -15 + -10 = -25 -25 + 7y + 6y2 = 10 + -10 Combine like terms: 10 + -10 = 0 -25 + 7y + 6y2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -4.166666667 + 1.166666667y + y2 = 0 Move the constant term to the right: Add '4.166666667' to each side of the equation. -4.166666667 + 1.166666667y + 4.166666667 + y2 = 0 + 4.166666667 Reorder the terms: -4.166666667 + 4.166666667 + 1.166666667y + y2 = 0 + 4.166666667 Combine like terms: -4.166666667 + 4.166666667 = 0.000000000 0.000000000 + 1.166666667y + y2 = 0 + 4.166666667 1.166666667y + y2 = 0 + 4.166666667 Combine like terms: 0 + 4.166666667 = 4.166666667 1.166666667y + y2 = 4.166666667 The y term is 1.166666667y. Take half its coefficient (0.5833333335). Square it (0.3402777780) and add it to both sides. Add '0.3402777780' to each side of the equation. 1.166666667y + 0.3402777780 + y2 = 4.166666667 + 0.3402777780 Reorder the terms: 0.3402777780 + 1.166666667y + y2 = 4.166666667 + 0.3402777780 Combine like terms: 4.166666667 + 0.3402777780 = 4.506944445 0.3402777780 + 1.166666667y + y2 = 4.506944445 Factor a perfect square on the left side: (y + 0.5833333335)(y + 0.5833333335) = 4.506944445 Calculate the square root of the right side: 2.122956534 Break this problem into two subproblems by setting (y + 0.5833333335) equal to 2.122956534 and -2.122956534.Subproblem 1
y + 0.5833333335 = 2.122956534 Simplifying y + 0.5833333335 = 2.122956534 Reorder the terms: 0.5833333335 + y = 2.122956534 Solving 0.5833333335 + y = 2.122956534 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.5833333335' to each side of the equation. 0.5833333335 + -0.5833333335 + y = 2.122956534 + -0.5833333335 Combine like terms: 0.5833333335 + -0.5833333335 = 0.0000000000 0.0000000000 + y = 2.122956534 + -0.5833333335 y = 2.122956534 + -0.5833333335 Combine like terms: 2.122956534 + -0.5833333335 = 1.5396232005 y = 1.5396232005 Simplifying y = 1.5396232005Subproblem 2
y + 0.5833333335 = -2.122956534 Simplifying y + 0.5833333335 = -2.122956534 Reorder the terms: 0.5833333335 + y = -2.122956534 Solving 0.5833333335 + y = -2.122956534 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.5833333335' to each side of the equation. 0.5833333335 + -0.5833333335 + y = -2.122956534 + -0.5833333335 Combine like terms: 0.5833333335 + -0.5833333335 = 0.0000000000 0.0000000000 + y = -2.122956534 + -0.5833333335 y = -2.122956534 + -0.5833333335 Combine like terms: -2.122956534 + -0.5833333335 = -2.7062898675 y = -2.7062898675 Simplifying y = -2.7062898675Solution
The solution to the problem is based on the solutions from the subproblems. y = {1.5396232005, -2.7062898675}
| 5y+2=7y+8+y | | x^2+3x+13=9x+5 | | -14m+26=-15(m-1)-1 | | x^2+10x+5=7x+3 | | y=3*x | | x^2-10x-7=-7x-3 | | 20+4x=50 | | 9x+17=4x+2 | | h*j*j=40353607 | | 3x^2+5x-90=0 | | x+y*3x=616 | | X-9b=3 | | 19-3x=41-4x | | 2-5x-7x=-130 | | 8c-2=-9+7x | | x^2-5x-6=8 | | 3a+12=-7a-8 | | 4x^2-10x-6=x^2+2 | | 0=17x^2+55x+180 | | 7x-6=43-3x | | y-4/3=-6 | | dx+e^3x*dy=0 | | u^5-16=0 | | 4x+3=38-x | | ((1.04+-1.6y)*50)+80y=52 | | m+7/5=3 | | 50x+80y=52 | | 2-3q=2q+17 | | 9*(3x-7)= | | 4+x+5x=-8 | | 3x+5=-4x+19 | | (3p-2)=(p-5)(9p+4) |