If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (2y2) + -16y + 33 = (y2) + -9 Reorder the terms: 33 + -16y + (2y2) = (y2) + -9 33 + -16y + (2y2) = y2 + -9 Reorder the terms: 33 + -16y + (2y2) = -9 + y2 Solving 33 + -16y + (2y2) = -9 + y2 Solving for variable 'y'. Reorder the terms: 33 + 9 + -16y + (2y2) + -1y2 = -9 + y2 + 9 + -1y2 Combine like terms: 33 + 9 = 42 42 + -16y + (2y2) + -1y2 = -9 + y2 + 9 + -1y2 Combine like terms: (2y2) + -1y2 = 1y2 42 + -16y + 1y2 = -9 + y2 + 9 + -1y2 Reorder the terms: 42 + -16y + 1y2 = -9 + 9 + y2 + -1y2 Combine like terms: -9 + 9 = 0 42 + -16y + 1y2 = 0 + y2 + -1y2 42 + -16y + 1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 42 + -16y + 1y2 = 0 Begin completing the square. Move the constant term to the right: Add '-42' to each side of the equation. 42 + -16y + -42 + y2 = 0 + -42 Reorder the terms: 42 + -42 + -16y + y2 = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -16y + y2 = 0 + -42 -16y + y2 = 0 + -42 Combine like terms: 0 + -42 = -42 -16y + y2 = -42 The y term is -16y. Take half its coefficient (-8). Square it (64) and add it to both sides. Add '64' to each side of the equation. -16y + 64 + y2 = -42 + 64 Reorder the terms: 64 + -16y + y2 = -42 + 64 Combine like terms: -42 + 64 = 22 64 + -16y + y2 = 22 Factor a perfect square on the left side: (y + -8)(y + -8) = 22 Calculate the square root of the right side: 4.69041576 Break this problem into two subproblems by setting (y + -8) equal to 4.69041576 and -4.69041576.Subproblem 1
y + -8 = 4.69041576 Simplifying y + -8 = 4.69041576 Reorder the terms: -8 + y = 4.69041576 Solving -8 + y = 4.69041576 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + y = 4.69041576 + 8 Combine like terms: -8 + 8 = 0 0 + y = 4.69041576 + 8 y = 4.69041576 + 8 Combine like terms: 4.69041576 + 8 = 12.69041576 y = 12.69041576 Simplifying y = 12.69041576Subproblem 2
y + -8 = -4.69041576 Simplifying y + -8 = -4.69041576 Reorder the terms: -8 + y = -4.69041576 Solving -8 + y = -4.69041576 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + y = -4.69041576 + 8 Combine like terms: -8 + 8 = 0 0 + y = -4.69041576 + 8 y = -4.69041576 + 8 Combine like terms: -4.69041576 + 8 = 3.30958424 y = 3.30958424 Simplifying y = 3.30958424Solution
The solution to the problem is based on the solutions from the subproblems. y = {12.69041576, 3.30958424}
| 8(m-5)=-88 | | 5.2c=7.8 | | 4x-(3x-1)-3(x+7)=40 | | 4b+6=b+9 | | 4b+2=2b+10 | | 16-v=6v | | 2(x+9)-15=60 | | 7(n-6)=-98 | | -42-6x=6(1+3x) | | -10n+24+24n=-6+24 | | 11x+23y=-29 | | (x)(x+4)=252 | | ln(13x+20)=3 | | -3(4x+3)+4(6x+1)=67 | | 5x+3(-4x-11)=137 | | -3(5-5x)+6=111 | | 10x-14=8x+4 | | 8+2(8+9x)+7x= | | k=6k-26 | | 1x+1.5y=5 | | 4c-55=2c+25 | | 8x-2(x-5)=z+25 | | 3(8+5x)=27x | | 5q+43=q+67 | | -3(5-5x)+6=11 | | -60=-4x-6x | | 81-54y=6y+4(9-6y) | | 9x^2+36y^2+36x+288y+288=0 | | 5b^3(8b^2-1)=0 | | 2b+2b-40=180 | | -2a(a+b-5)+3(-5a+2b)+b(6a+b-8)=0 | | 3b+5=2b+9 |