If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6y2 + y + -10 = 0 Reorder the terms: -10 + y + 6y2 = 0 Solving -10 + y + 6y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -1.666666667 + 0.1666666667y + y2 = 0 Move the constant term to the right: Add '1.666666667' to each side of the equation. -1.666666667 + 0.1666666667y + 1.666666667 + y2 = 0 + 1.666666667 Reorder the terms: -1.666666667 + 1.666666667 + 0.1666666667y + y2 = 0 + 1.666666667 Combine like terms: -1.666666667 + 1.666666667 = 0.000000000 0.000000000 + 0.1666666667y + y2 = 0 + 1.666666667 0.1666666667y + y2 = 0 + 1.666666667 Combine like terms: 0 + 1.666666667 = 1.666666667 0.1666666667y + y2 = 1.666666667 The y term is y. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.1666666667y + 0.25 + y2 = 1.666666667 + 0.25 Reorder the terms: 0.25 + 0.1666666667y + y2 = 1.666666667 + 0.25 Combine like terms: 1.666666667 + 0.25 = 1.916666667 0.25 + 0.1666666667y + y2 = 1.916666667 Factor a perfect square on the left side: (y + 0.5)(y + 0.5) = 1.916666667 Calculate the square root of the right side: 1.384437311 Break this problem into two subproblems by setting (y + 0.5) equal to 1.384437311 and -1.384437311.Subproblem 1
y + 0.5 = 1.384437311 Simplifying y + 0.5 = 1.384437311 Reorder the terms: 0.5 + y = 1.384437311 Solving 0.5 + y = 1.384437311 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + y = 1.384437311 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + y = 1.384437311 + -0.5 y = 1.384437311 + -0.5 Combine like terms: 1.384437311 + -0.5 = 0.884437311 y = 0.884437311 Simplifying y = 0.884437311Subproblem 2
y + 0.5 = -1.384437311 Simplifying y + 0.5 = -1.384437311 Reorder the terms: 0.5 + y = -1.384437311 Solving 0.5 + y = -1.384437311 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + y = -1.384437311 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + y = -1.384437311 + -0.5 y = -1.384437311 + -0.5 Combine like terms: -1.384437311 + -0.5 = -1.884437311 y = -1.884437311 Simplifying y = -1.884437311Solution
The solution to the problem is based on the solutions from the subproblems. y = {0.884437311, -1.884437311}
| 3(x-5)=-5(-3-4x) | | 0.75x-0.05=0.7 | | 13m+22=13m+22 | | 3m-6=13 | | 4=5y+9 | | 4(u-5)-6u= | | 20+4(x+8)=60 | | -7-5+3r=7r | | 2a+10=5a+2 | | f(x)=2x^3-x^2-4x+6 | | 77*x=98 | | f(x)=-x^2+5x^3-15 | | -2x-24=2x+8 | | 2y+15=4y+3 | | 6x+32=x+12 | | 7sin(x)cos^2(x)-7sin(x)=0 | | 4x(x-2)=4(x^2-3)-4 | | 1+6=7 | | 8y*0*y^2= | | 6r^10-6r^9= | | 0.4x+0.29=-0.9 | | 6x+69=2x+33 | | 51=x+5 | | 7x+2=2(3x+1)-x+7 | | 5-k/12=1 | | 4y+17-2y+5= | | r+41=-2r+8 | | -4x+43=x+18 | | (-48)=(-5y)+8-y | | 8x-24+6x+20+5x-1=180 | | 3(2x+1)+4=7x+3 | | 5-k/12=10 |