If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6y(y + -9) = 7 + 5y Reorder the terms: 6y(-9 + y) = 7 + 5y (-9 * 6y + y * 6y) = 7 + 5y (-54y + 6y2) = 7 + 5y Solving -54y + 6y2 = 7 + 5y Solving for variable 'y'. Reorder the terms: -7 + -54y + -5y + 6y2 = 7 + 5y + -7 + -5y Combine like terms: -54y + -5y = -59y -7 + -59y + 6y2 = 7 + 5y + -7 + -5y Reorder the terms: -7 + -59y + 6y2 = 7 + -7 + 5y + -5y Combine like terms: 7 + -7 = 0 -7 + -59y + 6y2 = 0 + 5y + -5y -7 + -59y + 6y2 = 5y + -5y Combine like terms: 5y + -5y = 0 -7 + -59y + 6y2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -1.166666667 + -9.833333333y + y2 = 0 Move the constant term to the right: Add '1.166666667' to each side of the equation. -1.166666667 + -9.833333333y + 1.166666667 + y2 = 0 + 1.166666667 Reorder the terms: -1.166666667 + 1.166666667 + -9.833333333y + y2 = 0 + 1.166666667 Combine like terms: -1.166666667 + 1.166666667 = 0.000000000 0.000000000 + -9.833333333y + y2 = 0 + 1.166666667 -9.833333333y + y2 = 0 + 1.166666667 Combine like terms: 0 + 1.166666667 = 1.166666667 -9.833333333y + y2 = 1.166666667 The y term is -9.833333333y. Take half its coefficient (-4.916666667). Square it (24.17361111) and add it to both sides. Add '24.17361111' to each side of the equation. -9.833333333y + 24.17361111 + y2 = 1.166666667 + 24.17361111 Reorder the terms: 24.17361111 + -9.833333333y + y2 = 1.166666667 + 24.17361111 Combine like terms: 1.166666667 + 24.17361111 = 25.340277777 24.17361111 + -9.833333333y + y2 = 25.340277777 Factor a perfect square on the left side: (y + -4.916666667)(y + -4.916666667) = 25.340277777 Calculate the square root of the right side: 5.03391277 Break this problem into two subproblems by setting (y + -4.916666667) equal to 5.03391277 and -5.03391277.Subproblem 1
y + -4.916666667 = 5.03391277 Simplifying y + -4.916666667 = 5.03391277 Reorder the terms: -4.916666667 + y = 5.03391277 Solving -4.916666667 + y = 5.03391277 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4.916666667' to each side of the equation. -4.916666667 + 4.916666667 + y = 5.03391277 + 4.916666667 Combine like terms: -4.916666667 + 4.916666667 = 0.000000000 0.000000000 + y = 5.03391277 + 4.916666667 y = 5.03391277 + 4.916666667 Combine like terms: 5.03391277 + 4.916666667 = 9.950579437 y = 9.950579437 Simplifying y = 9.950579437Subproblem 2
y + -4.916666667 = -5.03391277 Simplifying y + -4.916666667 = -5.03391277 Reorder the terms: -4.916666667 + y = -5.03391277 Solving -4.916666667 + y = -5.03391277 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4.916666667' to each side of the equation. -4.916666667 + 4.916666667 + y = -5.03391277 + 4.916666667 Combine like terms: -4.916666667 + 4.916666667 = 0.000000000 0.000000000 + y = -5.03391277 + 4.916666667 y = -5.03391277 + 4.916666667 Combine like terms: -5.03391277 + 4.916666667 = -0.117246103 y = -0.117246103 Simplifying y = -0.117246103Solution
The solution to the problem is based on the solutions from the subproblems. y = {9.950579437, -0.117246103}
| 18=3(3x-b) | | b-7+8b=24 | | (-4y+8)=-4(2y+6) | | 8-(4z-7)=(5-5z) | | 21+3s=10s | | 5(b+4)-66=-24 | | 52-4x=5x+19 | | 18+2x=6x-4 | | 20-2q=10 | | 5x-7-3x=19-9 | | 9-(2x-5)=6-3x | | 1/4x=-17 | | 6(8+x)=5(8+x) | | (4x-4)=(3x+2) | | 6(x-8)=3+5x | | 30x^2-x^3-2400=0 | | 14x+7+10x+5=180 | | 8x+8=8(X+9)-9 | | 14x+7=10x+5 | | 9(c+7)=8(c-2) | | (4x+2)/(10x+5)=x/5 | | (4x+2)/(10x+5) | | 3L+3(L-7)=41 | | X/5-8=16 | | 4+11y-2=9y+6-2y | | (2x+3)/(3x+4) | | 38-10l=10+4l | | -5/4x=3/4x-10 | | 6x+6=8x-8 | | 5(-4.5)+1-2[-3(-4.5)-5]=7(-4.5-1) | | 9t-2t=14 | | (2.5-x)*(2.5-x)/(2-x)*(2-x)=1.28 |