If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2y3 + -3y2 + -12y = 0 Reorder the terms: -12y + -3y2 + 2y3 = 0 Solving -12y + -3y2 + 2y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-12 + -3y + 2y2) = 0Subproblem 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 '(-12 + -3y + 2y2)' equal to zero and attempt to solve: Simplifying -12 + -3y + 2y2 = 0 Solving -12 + -3y + 2y2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -6 + -1.5y + y2 = 0 Move the constant term to the right: Add '6' to each side of the equation. -6 + -1.5y + 6 + y2 = 0 + 6 Reorder the terms: -6 + 6 + -1.5y + y2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1.5y + y2 = 0 + 6 -1.5y + y2 = 0 + 6 Combine like terms: 0 + 6 = 6 -1.5y + y2 = 6 The y term is -1.5y. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5y + 0.5625 + y2 = 6 + 0.5625 Reorder the terms: 0.5625 + -1.5y + y2 = 6 + 0.5625 Combine like terms: 6 + 0.5625 = 6.5625 0.5625 + -1.5y + y2 = 6.5625 Factor a perfect square on the left side: (y + -0.75)(y + -0.75) = 6.5625 Calculate the square root of the right side: 2.561737691 Break this problem into two subproblems by setting (y + -0.75) equal to 2.561737691 and -2.561737691.Subproblem 1
y + -0.75 = 2.561737691 Simplifying y + -0.75 = 2.561737691 Reorder the terms: -0.75 + y = 2.561737691 Solving -0.75 + y = 2.561737691 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + y = 2.561737691 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + y = 2.561737691 + 0.75 y = 2.561737691 + 0.75 Combine like terms: 2.561737691 + 0.75 = 3.311737691 y = 3.311737691 Simplifying y = 3.311737691Subproblem 2
y + -0.75 = -2.561737691 Simplifying y + -0.75 = -2.561737691 Reorder the terms: -0.75 + y = -2.561737691 Solving -0.75 + y = -2.561737691 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + y = -2.561737691 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + y = -2.561737691 + 0.75 y = -2.561737691 + 0.75 Combine like terms: -2.561737691 + 0.75 = -1.811737691 y = -1.811737691 Simplifying y = -1.811737691Solution
The solution to the problem is based on the solutions from the subproblems. y = {3.311737691, -1.811737691}Solution
y = {0, 3.311737691, -1.811737691}
| 6y-5-3y+1=o | | 207=3x | | 10-2(5-w)=7-(4-w) | | 5(3+4)=15 | | 5q^2+18q-8=0 | | -g-5=g-13 | | X-5=36 | | 8n-15=441 | | q^2-625=0 | | 6y-5-3y+1=0 | | 23x=161 | | (1-x)3= | | (x-2)(y-3)=150 | | -192=-6t^2+64t+192 | | 180-27-64= | | 9c^2=49 | | 9=3x^2+5x | | 3(4x-2)=34 | | -2(2q+2)= | | 2(30)+13= | | 5+35x=20x+17 | | 2x+12=114 | | m-2m=3m-8 | | 15+8y-5x+3=30 | | -3(x^2)-8x-1= | | (10a-5)=180 | | 14=4u-2 | | .25(8x-12)=13 | | 9x^2-76x-1144=0 | | 17a-7=180 | | 7x+79+3x+41=180 | | 6x^2(4x^2-2x+2)= |