If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4 + -9y2 + y2 + 3(2 + -3y) * y = -4 Reorder the terms for easier multiplication: 4 + -9y2 + y2 + 3y(2 + -3y) = -4 4 + -9y2 + y2 + (2 * 3y + -3y * 3y) = -4 4 + -9y2 + y2 + (6y + -9y2) = -4 Reorder the terms: 4 + 6y + -9y2 + y2 + -9y2 = -4 Combine like terms: -9y2 + y2 = -8y2 4 + 6y + -8y2 + -9y2 = -4 Combine like terms: -8y2 + -9y2 = -17y2 4 + 6y + -17y2 = -4 Solving 4 + 6y + -17y2 = -4 Solving for variable 'y'. Reorder the terms: 4 + 4 + 6y + -17y2 = -4 + 4 Combine like terms: 4 + 4 = 8 8 + 6y + -17y2 = -4 + 4 Combine like terms: -4 + 4 = 0 8 + 6y + -17y2 = 0 Begin completing the square. Divide all terms by -17 the coefficient of the squared term: Divide each side by '-17'. -0.4705882353 + -0.3529411765y + y2 = 0 Move the constant term to the right: Add '0.4705882353' to each side of the equation. -0.4705882353 + -0.3529411765y + 0.4705882353 + y2 = 0 + 0.4705882353 Reorder the terms: -0.4705882353 + 0.4705882353 + -0.3529411765y + y2 = 0 + 0.4705882353 Combine like terms: -0.4705882353 + 0.4705882353 = 0.0000000000 0.0000000000 + -0.3529411765y + y2 = 0 + 0.4705882353 -0.3529411765y + y2 = 0 + 0.4705882353 Combine like terms: 0 + 0.4705882353 = 0.4705882353 -0.3529411765y + y2 = 0.4705882353 The y term is -0.3529411765y. Take half its coefficient (-0.1764705883). Square it (0.03114186853) and add it to both sides. Add '0.03114186853' to each side of the equation. -0.3529411765y + 0.03114186853 + y2 = 0.4705882353 + 0.03114186853 Reorder the terms: 0.03114186853 + -0.3529411765y + y2 = 0.4705882353 + 0.03114186853 Combine like terms: 0.4705882353 + 0.03114186853 = 0.50173010383 0.03114186853 + -0.3529411765y + y2 = 0.50173010383 Factor a perfect square on the left side: (y + -0.1764705883)(y + -0.1764705883) = 0.50173010383 Calculate the square root of the right side: 0.708329093 Break this problem into two subproblems by setting (y + -0.1764705883) equal to 0.708329093 and -0.708329093.Subproblem 1
y + -0.1764705883 = 0.708329093 Simplifying y + -0.1764705883 = 0.708329093 Reorder the terms: -0.1764705883 + y = 0.708329093 Solving -0.1764705883 + y = 0.708329093 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.1764705883' to each side of the equation. -0.1764705883 + 0.1764705883 + y = 0.708329093 + 0.1764705883 Combine like terms: -0.1764705883 + 0.1764705883 = 0.0000000000 0.0000000000 + y = 0.708329093 + 0.1764705883 y = 0.708329093 + 0.1764705883 Combine like terms: 0.708329093 + 0.1764705883 = 0.8847996813 y = 0.8847996813 Simplifying y = 0.8847996813Subproblem 2
y + -0.1764705883 = -0.708329093 Simplifying y + -0.1764705883 = -0.708329093 Reorder the terms: -0.1764705883 + y = -0.708329093 Solving -0.1764705883 + y = -0.708329093 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.1764705883' to each side of the equation. -0.1764705883 + 0.1764705883 + y = -0.708329093 + 0.1764705883 Combine like terms: -0.1764705883 + 0.1764705883 = 0.0000000000 0.0000000000 + y = -0.708329093 + 0.1764705883 y = -0.708329093 + 0.1764705883 Combine like terms: -0.708329093 + 0.1764705883 = -0.5318585047 y = -0.5318585047 Simplifying y = -0.5318585047Solution
The solution to the problem is based on the solutions from the subproblems. y = {0.8847996813, -0.5318585047}
| 7x+17-6x=-4-10 | | x^2+y^2+3xy=-4 | | 2sen^2x-sebx=1 | | 21a=9 | | 3x+14y=267 | | 7/4x-2/3=-3x-3/4 | | -6(w+5)=6w-42 | | (y-8)/(8y-5) | | -8-5p=-3p | | (w-9)/(6w-1) | | -10-y=10+4y | | x^2+4x-sqrt(x)=0 | | x-2y=4x^2+y^2=5bysubstitution | | =(x-4)*(x-2i) | | 4x^2-28x-5=0 | | 2(5x-12)=3x-59 | | -2-6-7b=-8b+2 | | 5c-4=-26 | | -2x+8=7x-10 | | 6(x+4)=3(x-8) | | 4x-6=-5x+66 | | -3x+2=7x-10 | | -5x+10=-8+x | | 2z+10=-8-z | | 7x+2(X-6)=10 | | -4+2g=3g-10 | | F(x)=5x^2+3x+2 | | 4(y-3.4)=-10/3 | | 5x/3-9=1 | | -7q=-6q+9 | | 63x=210*5x | | -2t=-9-3t |