If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4y2 + 9y = 15 Reorder the terms: 9y + 4y2 = 15 Solving 9y + 4y2 = 15 Solving for variable 'y'. Reorder the terms: -15 + 9y + 4y2 = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + 9y + 4y2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -3.75 + 2.25y + y2 = 0 Move the constant term to the right: Add '3.75' to each side of the equation. -3.75 + 2.25y + 3.75 + y2 = 0 + 3.75 Reorder the terms: -3.75 + 3.75 + 2.25y + y2 = 0 + 3.75 Combine like terms: -3.75 + 3.75 = 0.00 0.00 + 2.25y + y2 = 0 + 3.75 2.25y + y2 = 0 + 3.75 Combine like terms: 0 + 3.75 = 3.75 2.25y + y2 = 3.75 The y term is 2.25y. Take half its coefficient (1.125). Square it (1.265625) and add it to both sides. Add '1.265625' to each side of the equation. 2.25y + 1.265625 + y2 = 3.75 + 1.265625 Reorder the terms: 1.265625 + 2.25y + y2 = 3.75 + 1.265625 Combine like terms: 3.75 + 1.265625 = 5.015625 1.265625 + 2.25y + y2 = 5.015625 Factor a perfect square on the left side: (y + 1.125)(y + 1.125) = 5.015625 Calculate the square root of the right side: 2.239559108 Break this problem into two subproblems by setting (y + 1.125) equal to 2.239559108 and -2.239559108.Subproblem 1
y + 1.125 = 2.239559108 Simplifying y + 1.125 = 2.239559108 Reorder the terms: 1.125 + y = 2.239559108 Solving 1.125 + y = 2.239559108 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.125' to each side of the equation. 1.125 + -1.125 + y = 2.239559108 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + y = 2.239559108 + -1.125 y = 2.239559108 + -1.125 Combine like terms: 2.239559108 + -1.125 = 1.114559108 y = 1.114559108 Simplifying y = 1.114559108Subproblem 2
y + 1.125 = -2.239559108 Simplifying y + 1.125 = -2.239559108 Reorder the terms: 1.125 + y = -2.239559108 Solving 1.125 + y = -2.239559108 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.125' to each side of the equation. 1.125 + -1.125 + y = -2.239559108 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + y = -2.239559108 + -1.125 y = -2.239559108 + -1.125 Combine like terms: -2.239559108 + -1.125 = -3.364559108 y = -3.364559108 Simplifying y = -3.364559108Solution
The solution to the problem is based on the solutions from the subproblems. y = {1.114559108, -3.364559108}
| n+9n+-15=-15 | | N+9n-15=-15 | | 7000*a^20=10000 | | 0.8x^2-0.2x+0.1=0 | | 7000*a^12=10000 | | 7x+21=x-9 | | x^2+6y^2=310 | | 8(t-5)+7t=5(3t+4)-9 | | 1.4(2y-3)-1=8.9+2.8y+3.7 | | (r-3)(r+13)=16 | | 2(x-1)/1/3x-1=4 | | y=10x^3-9x^2+6x+5 | | 3/4(44.50) | | F(X)=.071x^2-.426x+8.05 | | Sqrt(2x^2-6x)+sqrt(6x^2-30x)+sqrt(3x^2-12x)=18 | | 4+2n-1=6n+7-2n | | Sqrt(2x^2-6x)=18 | | 1.5(3y-2)-1=-8.7+5.1y+4.3 | | 48=5c-2 | | 3-r=10 | | 1.6X+28=40-1.4x | | 2a^2=1 | | -1/2(x+2)+1/3(x-3)=7 | | 2.5(y-6)=5 | | 8.5=2.49 | | -2+3x=-3+8x# | | 5c+2=47 | | -4=x^5+80x^2 | | 12-8x=0 | | -4=x^5+80x | | 5x-9=2x+19 | | 26+40=14x-15 |