If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -2y2 + -48y = 70 Reorder the terms: -48y + -2y2 = 70 Solving -48y + -2y2 = 70 Solving for variable 'y'. Reorder the terms: -70 + -48y + -2y2 = 70 + -70 Combine like terms: 70 + -70 = 0 -70 + -48y + -2y2 = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(35 + 24y + y2) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(35 + 24y + y2)' equal to zero and attempt to solve: Simplifying 35 + 24y + y2 = 0 Solving 35 + 24y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-35' to each side of the equation. 35 + 24y + -35 + y2 = 0 + -35 Reorder the terms: 35 + -35 + 24y + y2 = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 24y + y2 = 0 + -35 24y + y2 = 0 + -35 Combine like terms: 0 + -35 = -35 24y + y2 = -35 The y term is 24y. Take half its coefficient (12). Square it (144) and add it to both sides. Add '144' to each side of the equation. 24y + 144 + y2 = -35 + 144 Reorder the terms: 144 + 24y + y2 = -35 + 144 Combine like terms: -35 + 144 = 109 144 + 24y + y2 = 109 Factor a perfect square on the left side: (y + 12)(y + 12) = 109 Calculate the square root of the right side: 10.440306509 Break this problem into two subproblems by setting (y + 12) equal to 10.440306509 and -10.440306509.Subproblem 1
y + 12 = 10.440306509 Simplifying y + 12 = 10.440306509 Reorder the terms: 12 + y = 10.440306509 Solving 12 + y = 10.440306509 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + y = 10.440306509 + -12 Combine like terms: 12 + -12 = 0 0 + y = 10.440306509 + -12 y = 10.440306509 + -12 Combine like terms: 10.440306509 + -12 = -1.559693491 y = -1.559693491 Simplifying y = -1.559693491Subproblem 2
y + 12 = -10.440306509 Simplifying y + 12 = -10.440306509 Reorder the terms: 12 + y = -10.440306509 Solving 12 + y = -10.440306509 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + y = -10.440306509 + -12 Combine like terms: 12 + -12 = 0 0 + y = -10.440306509 + -12 y = -10.440306509 + -12 Combine like terms: -10.440306509 + -12 = -22.440306509 y = -22.440306509 Simplifying y = -22.440306509Solution
The solution to the problem is based on the solutions from the subproblems. y = {-1.559693491, -22.440306509}Solution
y = {-1.559693491, -22.440306509}
| -7x+4=-3x-12 | | 4+4x-7=4x+3-x | | 7(6k+1)=-37-2k | | 5k^2+48k+64=0 | | -3d+4+9d=-8 | | 3(34a+3)+6=87 | | 3/2b-1=2/b+2 | | 2+5s=6+2s | | 8+4cos(2x)=12cosx | | 9(x-4)+(2+8)=0 | | q^2+26q+9=0 | | 40+8n=7(4n+1)-7 | | 96000+420x/67000+300x=1.41754386 | | w^2+2w=47 | | 4.5+8.2+3.5x=-4.6+8x | | 2[y-3]=y+4 | | -10x-5y=-30 | | 5x-15x+10=5x | | -3=6-4r+3 | | 6x+23=5x+36 | | w^2+22w=43 | | q^2+12q+25=0 | | 2x-2=x-3+(5+x) | | 10x-21=4x+15 | | -67+21= | | 10x+11y=92 | | 7*c=21 | | h^2+6h-11=0 | | f^2-10f=33 | | 4x+2+8=35 | | F(X)=8x^2+8-12 | | 2s^2+3s^2+2s+1=0 |