If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2y4 + 3y3 + -24y2 = 0 Reorder the terms: -24y2 + 3y3 + 2y4 = 0 Solving -24y2 + 3y3 + 2y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y2'. y2(-24 + 3y + 2y2) = 0Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2 = 0 Take the square root of each side: y = {0}Subproblem 2
Set the factor '(-24 + 3y + 2y2)' equal to zero and attempt to solve: Simplifying -24 + 3y + 2y2 = 0 Solving -24 + 3y + 2y2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -12 + 1.5y + y2 = 0 Move the constant term to the right: Add '12' to each side of the equation. -12 + 1.5y + 12 + y2 = 0 + 12 Reorder the terms: -12 + 12 + 1.5y + y2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 1.5y + y2 = 0 + 12 1.5y + y2 = 0 + 12 Combine like terms: 0 + 12 = 12 1.5y + y2 = 12 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 = 12 + 0.5625 Reorder the terms: 0.5625 + 1.5y + y2 = 12 + 0.5625 Combine like terms: 12 + 0.5625 = 12.5625 0.5625 + 1.5y + y2 = 12.5625 Factor a perfect square on the left side: (y + 0.75)(y + 0.75) = 12.5625 Calculate the square root of the right side: 3.54436172 Break this problem into two subproblems by setting (y + 0.75) equal to 3.54436172 and -3.54436172.Subproblem 1
y + 0.75 = 3.54436172 Simplifying y + 0.75 = 3.54436172 Reorder the terms: 0.75 + y = 3.54436172 Solving 0.75 + y = 3.54436172 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 = 3.54436172 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + y = 3.54436172 + -0.75 y = 3.54436172 + -0.75 Combine like terms: 3.54436172 + -0.75 = 2.79436172 y = 2.79436172 Simplifying y = 2.79436172Subproblem 2
y + 0.75 = -3.54436172 Simplifying y + 0.75 = -3.54436172 Reorder the terms: 0.75 + y = -3.54436172 Solving 0.75 + y = -3.54436172 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 = -3.54436172 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + y = -3.54436172 + -0.75 y = -3.54436172 + -0.75 Combine like terms: -3.54436172 + -0.75 = -4.29436172 y = -4.29436172 Simplifying y = -4.29436172Solution
The solution to the problem is based on the solutions from the subproblems. y = {2.79436172, -4.29436172}Solution
y = {0, 2.79436172, -4.29436172}
| 2.7x-11.22=6.6 | | 6w-12=-50w-5 | | 15.6=-3.9r | | 32=0.4x+2 | | r^2=x^2+y^2 | | P=5ab | | 3t-18=4(-3-3/4 | | b^(2)-7=(6)/(b) | | 4y+2x+y+79-y=180 | | X^2+2x^2+3x+6=0 | | -7+2z=-6 | | 140-96x+12x^2=0 | | x(16-x)-63=0 | | 12c+c^2=0 | | 8p^2-2p-21=0 | | 3x+4y-12x+7y= | | 2k^2-13k+18=0 | | 0.75x-9=2.85 | | 10(t-4)+4t=7(2t+2)-9 | | 4a2b/6ab | | 24x2/12x | | -72=7h-5(3h-8) | | 1/2x-1/6x=1/3 | | 7(d-12)=5(d+2) | | -(0.1x+0.4)-1.3=-0.5 | | 3x2-12/3 | | 7.68=0.25x+5.93 | | 2(x-7)=-3(2x+1)-3 | | 3s^2+16s+15=0 | | 3+19y-2=9y+86-7y | | 3(2x+1)+5x-2=9 | | 7r-14/7 |