If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = y2 + 6y + -100 Reorder the terms: 0 = -100 + 6y + y2 Solving 0 = -100 + 6y + y2 Solving for variable 'y'. Combine like terms: 0 + 100 = 100 100 + -6y + -1y2 = -100 + 6y + y2 + 100 + -6y + -1y2 Reorder the terms: 100 + -6y + -1y2 = -100 + 100 + 6y + -6y + y2 + -1y2 Combine like terms: -100 + 100 = 0 100 + -6y + -1y2 = 0 + 6y + -6y + y2 + -1y2 100 + -6y + -1y2 = 6y + -6y + y2 + -1y2 Combine like terms: 6y + -6y = 0 100 + -6y + -1y2 = 0 + y2 + -1y2 100 + -6y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 100 + -6y + -1y2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -100 + 6y + y2 = 0 Move the constant term to the right: Add '100' to each side of the equation. -100 + 6y + 100 + y2 = 0 + 100 Reorder the terms: -100 + 100 + 6y + y2 = 0 + 100 Combine like terms: -100 + 100 = 0 0 + 6y + y2 = 0 + 100 6y + y2 = 0 + 100 Combine like terms: 0 + 100 = 100 6y + y2 = 100 The y term is 6y. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6y + 9 + y2 = 100 + 9 Reorder the terms: 9 + 6y + y2 = 100 + 9 Combine like terms: 100 + 9 = 109 9 + 6y + y2 = 109 Factor a perfect square on the left side: (y + 3)(y + 3) = 109 Calculate the square root of the right side: 10.440306509 Break this problem into two subproblems by setting (y + 3) equal to 10.440306509 and -10.440306509.Subproblem 1
y + 3 = 10.440306509 Simplifying y + 3 = 10.440306509 Reorder the terms: 3 + y = 10.440306509 Solving 3 + y = 10.440306509 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y = 10.440306509 + -3 Combine like terms: 3 + -3 = 0 0 + y = 10.440306509 + -3 y = 10.440306509 + -3 Combine like terms: 10.440306509 + -3 = 7.440306509 y = 7.440306509 Simplifying y = 7.440306509Subproblem 2
y + 3 = -10.440306509 Simplifying y + 3 = -10.440306509 Reorder the terms: 3 + y = -10.440306509 Solving 3 + y = -10.440306509 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y = -10.440306509 + -3 Combine like terms: 3 + -3 = 0 0 + y = -10.440306509 + -3 y = -10.440306509 + -3 Combine like terms: -10.440306509 + -3 = -13.440306509 y = -13.440306509 Simplifying y = -13.440306509Solution
The solution to the problem is based on the solutions from the subproblems. y = {7.440306509, -13.440306509}
| 7x^2-10x+3= | | 1. 6x+3y=9 | | 82-3x=24x+19 | | 8t+1=-1 | | -r^4=-16 | | r^4=-16 | | 116-3x=42+16 | | 5X+8(4X+34000)=33060 | | z^2=2z-5 | | x^2-bx+24=0 | | 12-5n=2 | | 16x=20+8y | | 110=(3x+7) | | 20x^3=125x | | a-(b-c)=(a+b)-b | | 7x^2+9n+2= | | 4+5z-3=9z+25-7z | | n^3-9n^2+9=0 | | y^2+12.25y-180=0 | | Y-9x=4(x-2) | | Y-5=-3(x+2) | | 5/x=6-(-4)/12 | | (6-i)/(4-2i) | | 15x^4-15x=0 | | x^3+6x^2+12x+9=0 | | 6x-(4x-2)=-2x+48+18x-(6-10x) | | 5x+16/6=-2/3 | | 7x+5-4x= | | 4.93-9.20v=0.66 | | 6x-4x-2=-2x+48+18x-6-10x | | (x-10)(x+10)=-19 | | 7x+5-4x=26 |