If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 14y3 + 16y2 + -16y = 0 Reorder the terms: -16y + 16y2 + 14y3 = 0 Solving -16y + 16y2 + 14y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(-8 + 8y + 7y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(-8 + 8y + 7y2)' equal to zero and attempt to solve: Simplifying -8 + 8y + 7y2 = 0 Solving -8 + 8y + 7y2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. -1.142857143 + 1.142857143y + y2 = 0 Move the constant term to the right: Add '1.142857143' to each side of the equation. -1.142857143 + 1.142857143y + 1.142857143 + y2 = 0 + 1.142857143 Reorder the terms: -1.142857143 + 1.142857143 + 1.142857143y + y2 = 0 + 1.142857143 Combine like terms: -1.142857143 + 1.142857143 = 0.000000000 0.000000000 + 1.142857143y + y2 = 0 + 1.142857143 1.142857143y + y2 = 0 + 1.142857143 Combine like terms: 0 + 1.142857143 = 1.142857143 1.142857143y + y2 = 1.142857143 The y term is 1.142857143y. Take half its coefficient (0.5714285715). Square it (0.3265306123) and add it to both sides. Add '0.3265306123' to each side of the equation. 1.142857143y + 0.3265306123 + y2 = 1.142857143 + 0.3265306123 Reorder the terms: 0.3265306123 + 1.142857143y + y2 = 1.142857143 + 0.3265306123 Combine like terms: 1.142857143 + 0.3265306123 = 1.4693877553 0.3265306123 + 1.142857143y + y2 = 1.4693877553 Factor a perfect square on the left side: (y + 0.5714285715)(y + 0.5714285715) = 1.4693877553 Calculate the square root of the right side: 1.212183054 Break this problem into two subproblems by setting (y + 0.5714285715) equal to 1.212183054 and -1.212183054.Subproblem 1
y + 0.5714285715 = 1.212183054 Simplifying y + 0.5714285715 = 1.212183054 Reorder the terms: 0.5714285715 + y = 1.212183054 Solving 0.5714285715 + y = 1.212183054 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.5714285715' to each side of the equation. 0.5714285715 + -0.5714285715 + y = 1.212183054 + -0.5714285715 Combine like terms: 0.5714285715 + -0.5714285715 = 0.0000000000 0.0000000000 + y = 1.212183054 + -0.5714285715 y = 1.212183054 + -0.5714285715 Combine like terms: 1.212183054 + -0.5714285715 = 0.6407544825 y = 0.6407544825 Simplifying y = 0.6407544825Subproblem 2
y + 0.5714285715 = -1.212183054 Simplifying y + 0.5714285715 = -1.212183054 Reorder the terms: 0.5714285715 + y = -1.212183054 Solving 0.5714285715 + y = -1.212183054 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.5714285715' to each side of the equation. 0.5714285715 + -0.5714285715 + y = -1.212183054 + -0.5714285715 Combine like terms: 0.5714285715 + -0.5714285715 = 0.0000000000 0.0000000000 + y = -1.212183054 + -0.5714285715 y = -1.212183054 + -0.5714285715 Combine like terms: -1.212183054 + -0.5714285715 = -1.7836116255 y = -1.7836116255 Simplifying y = -1.7836116255Solution
The solution to the problem is based on the solutions from the subproblems. y = {0.6407544825, -1.7836116255}Solution
y = {0, 0.6407544825, -1.7836116255}
| r^2+49-49=0 | | R^2+49=0 | | 128*59/64*3/4=x | | 36=x+2x+3x | | x-1000=0.8x | | x=128*59/64*3/4 | | X^3-138=0 | | 5p^2=8p | | -11x-110=286 | | .5x^2+2x+3=3 | | d-17=14 | | 1k+1k+1k=1k+18 | | 9+a/4=-5 | | -4.9w=-29.4 | | -4.9w=-29 | | (3/2)^-3 | | -11x+103=29 | | .25g(5+3)-4g+13=0 | | 14T+32-5T-7=34 | | 19.9+4.1n=4.32 | | 2(b-3)=30 | | 8x+34=106 | | x+3=2x-y | | -(6y+3)-(5y-7)=1 | | x^2-15X+15= | | 2(n+2)=3(n-7) | | 4z^2*z^2= | | 3x-15/2x+24 | | 3x-15=3x+24 | | f(5)=8 | | 2x^2=4x+6 | | -4w=-92 |