If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3y3 + -7y3 + 5y2 + 6y + y2 = 0 Reorder the terms: 6y + 5y2 + y2 + 3y3 + -7y3 = 0 Combine like terms: 5y2 + y2 = 6y2 6y + 6y2 + 3y3 + -7y3 = 0 Combine like terms: 3y3 + -7y3 = -4y3 6y + 6y2 + -4y3 = 0 Solving 6y + 6y2 + -4y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(3 + 3y + -2y2) = 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 '(3 + 3y + -2y2)' equal to zero and attempt to solve: Simplifying 3 + 3y + -2y2 = 0 Solving 3 + 3y + -2y2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. -1.5 + -1.5y + y2 = 0 Move the constant term to the right: Add '1.5' to each side of the equation. -1.5 + -1.5y + 1.5 + y2 = 0 + 1.5 Reorder the terms: -1.5 + 1.5 + -1.5y + y2 = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -1.5y + y2 = 0 + 1.5 -1.5y + y2 = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 -1.5y + y2 = 1.5 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 = 1.5 + 0.5625 Reorder the terms: 0.5625 + -1.5y + y2 = 1.5 + 0.5625 Combine like terms: 1.5 + 0.5625 = 2.0625 0.5625 + -1.5y + y2 = 2.0625 Factor a perfect square on the left side: (y + -0.75)(y + -0.75) = 2.0625 Calculate the square root of the right side: 1.436140662 Break this problem into two subproblems by setting (y + -0.75) equal to 1.436140662 and -1.436140662.Subproblem 1
y + -0.75 = 1.436140662 Simplifying y + -0.75 = 1.436140662 Reorder the terms: -0.75 + y = 1.436140662 Solving -0.75 + y = 1.436140662 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 = 1.436140662 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + y = 1.436140662 + 0.75 y = 1.436140662 + 0.75 Combine like terms: 1.436140662 + 0.75 = 2.186140662 y = 2.186140662 Simplifying y = 2.186140662Subproblem 2
y + -0.75 = -1.436140662 Simplifying y + -0.75 = -1.436140662 Reorder the terms: -0.75 + y = -1.436140662 Solving -0.75 + y = -1.436140662 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 = -1.436140662 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + y = -1.436140662 + 0.75 y = -1.436140662 + 0.75 Combine like terms: -1.436140662 + 0.75 = -0.686140662 y = -0.686140662 Simplifying y = -0.686140662Solution
The solution to the problem is based on the solutions from the subproblems. y = {2.186140662, -0.686140662}Solution
y = {0, 2.186140662, -0.686140662}
| x^2+4x-5=-9 | | 2x+4(76)= | | 21.8+g=9.5 | | 2x^2-14=-16 | | 2x^2-14=-6 | | 6x+-4x=6 | | -5(-4k+7)=40-5k | | .5y-2=.25(-1) | | 2.5(36+-3y)+7.5y=4.5(20) | | 0=y+lny^2 | | 29=24-2c | | x^2-9=-11 | | 3x-2(2x-4)=4x-7 | | 2.5(36+-3y)+7.5=4.5(20) | | (2a-8b)(6a-8b)= | | 1.5+0.5y+5y= | | 13=3.14*(4x+2) | | 13=3.14159265359*(4x+2) | | 4(-1)-3=0.4(-1)-2y | | 5(4b+1)=65 | | 13=3.41*(4x+2) | | (2x^2+3x-1)(2x^2+3x-2)=56 | | 7(2r-3)=35 | | (8x+9)(7x-5)=0 | | 14y=13(y+5) | | 6(2p+1)=30 | | -21+11= | | 12-46=5(x-2)-9 | | 2x-5+x+20=90 | | x^2+2(k+2)x+9k=0 | | 2.5x+7.5y=90 | | (x+10)(x-10)=0 |