If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -6y2 + 9y = -1 Reorder the terms: 9y + -6y2 = -1 Solving 9y + -6y2 = -1 Solving for variable 'y'. Reorder the terms: 1 + 9y + -6y2 = -1 + 1 Combine like terms: -1 + 1 = 0 1 + 9y + -6y2 = 0 Begin completing the square. Divide all terms by -6 the coefficient of the squared term: Divide each side by '-6'. -0.1666666667 + -1.5y + y2 = 0 Move the constant term to the right: Add '0.1666666667' to each side of the equation. -0.1666666667 + -1.5y + 0.1666666667 + y2 = 0 + 0.1666666667 Reorder the terms: -0.1666666667 + 0.1666666667 + -1.5y + y2 = 0 + 0.1666666667 Combine like terms: -0.1666666667 + 0.1666666667 = 0.0000000000 0.0000000000 + -1.5y + y2 = 0 + 0.1666666667 -1.5y + y2 = 0 + 0.1666666667 Combine like terms: 0 + 0.1666666667 = 0.1666666667 -1.5y + y2 = 0.1666666667 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 = 0.1666666667 + 0.5625 Reorder the terms: 0.5625 + -1.5y + y2 = 0.1666666667 + 0.5625 Combine like terms: 0.1666666667 + 0.5625 = 0.7291666667 0.5625 + -1.5y + y2 = 0.7291666667 Factor a perfect square on the left side: (y + -0.75)(y + -0.75) = 0.7291666667 Calculate the square root of the right side: 0.853912564 Break this problem into two subproblems by setting (y + -0.75) equal to 0.853912564 and -0.853912564.Subproblem 1
y + -0.75 = 0.853912564 Simplifying y + -0.75 = 0.853912564 Reorder the terms: -0.75 + y = 0.853912564 Solving -0.75 + y = 0.853912564 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 = 0.853912564 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + y = 0.853912564 + 0.75 y = 0.853912564 + 0.75 Combine like terms: 0.853912564 + 0.75 = 1.603912564 y = 1.603912564 Simplifying y = 1.603912564Subproblem 2
y + -0.75 = -0.853912564 Simplifying y + -0.75 = -0.853912564 Reorder the terms: -0.75 + y = -0.853912564 Solving -0.75 + y = -0.853912564 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 = -0.853912564 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + y = -0.853912564 + 0.75 y = -0.853912564 + 0.75 Combine like terms: -0.853912564 + 0.75 = -0.103912564 y = -0.103912564 Simplifying y = -0.103912564Solution
The solution to the problem is based on the solutions from the subproblems. y = {1.603912564, -0.103912564}
| 5x^2+9x+2=9 | | 12=3/4x | | 68/3.40 | | 12x+10=-11+9x | | 2/7x28 | | -3and1/3=-1/2g | | x+6=6x-44 | | -7+2=-12+7 | | 6(3+t)=8 | | x+3(1)=9 | | 2x+6-3x-12=15 | | -5x+7=-4x+14 | | X-22=7 | | a-5=a-2/3 | | .05x-320/x^2=0 | | (x^1/3)-5=0 | | 12/ | | 25+a=56 | | 10000(7.38q+14.76)=1000(3.95-4.27q) | | -11x-10=-2x-10 | | t^2-13t=0 | | (100+20)4z= | | -3x^2+18x-8=0 | | 47-r=12 | | 1/2(f+10)= | | sin^2x+since-1=0 | | x+1-4=-2x-3 | | 40x=16x^2+25 | | 6X=12x+5 | | 3m=120 | | 6y+3=5y-4 | | 15x+9y=117 |