If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5y4 + 10y3 + -35y2 = 0 Reorder the terms: -35y2 + 10y3 + 5y4 = 0 Solving -35y2 + 10y3 + 5y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '5y2'. 5y2(-7 + 2y + y2) = 0 Ignore the factor 5.Subproblem 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 '(-7 + 2y + y2)' equal to zero and attempt to solve: Simplifying -7 + 2y + y2 = 0 Solving -7 + 2y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '7' to each side of the equation. -7 + 2y + 7 + y2 = 0 + 7 Reorder the terms: -7 + 7 + 2y + y2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2y + y2 = 0 + 7 2y + y2 = 0 + 7 Combine like terms: 0 + 7 = 7 2y + y2 = 7 The y term is 2y. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2y + 1 + y2 = 7 + 1 Reorder the terms: 1 + 2y + y2 = 7 + 1 Combine like terms: 7 + 1 = 8 1 + 2y + y2 = 8 Factor a perfect square on the left side: (y + 1)(y + 1) = 8 Calculate the square root of the right side: 2.828427125 Break this problem into two subproblems by setting (y + 1) equal to 2.828427125 and -2.828427125.Subproblem 1
y + 1 = 2.828427125 Simplifying y + 1 = 2.828427125 Reorder the terms: 1 + y = 2.828427125 Solving 1 + y = 2.828427125 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + y = 2.828427125 + -1 Combine like terms: 1 + -1 = 0 0 + y = 2.828427125 + -1 y = 2.828427125 + -1 Combine like terms: 2.828427125 + -1 = 1.828427125 y = 1.828427125 Simplifying y = 1.828427125Subproblem 2
y + 1 = -2.828427125 Simplifying y + 1 = -2.828427125 Reorder the terms: 1 + y = -2.828427125 Solving 1 + y = -2.828427125 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + y = -2.828427125 + -1 Combine like terms: 1 + -1 = 0 0 + y = -2.828427125 + -1 y = -2.828427125 + -1 Combine like terms: -2.828427125 + -1 = -3.828427125 y = -3.828427125 Simplifying y = -3.828427125Solution
The solution to the problem is based on the solutions from the subproblems. y = {1.828427125, -3.828427125}Solution
y = {0, 1.828427125, -3.828427125}
| 4x^2-16xy+7y^2=0 | | x^5y-2x^2y^2+7xy^5= | | 11x^2-21x-2=0 | | z^2-9z+15=0 | | t^3-125=0 | | 8y^5-7y^4+3y^3= | | 443-198.5=x | | 3y-8y+7=7y-5y | | 6x^3+42x^2-30x= | | 2x+46=443 | | 10-8x=2x+4x | | X^2+10X+8=0 | | 7x^3+35x^2+56x= | | -8X^2+31=7 | | 100x^2+240x+144= | | 28a^2b^5+21ab= | | 3x^2-19x+6= | | -5X^2-X+3=0 | | x+16y=30 | | a^2b^2+ab= | | 4X^2+13=41 | | 6y^4-2y^7= | | -5d+2=-6d^2 | | x+2=4x-16 | | -(6y+5)-(-5y-6)=-2 | | 7y^4-42y= | | p^2-6p+n=0 | | m^2-8m+n=0 | | 72n-43= | | (4x+20)=(3x-15) | | 5n^2-4=74 | | 4(2-x)+3(2x-5)=12 |