If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 100 = y2 + 6y Reorder the terms: 100 = 6y + y2 Solving 100 = 6y + y2 Solving for variable 'y'. Reorder the terms: 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}
| 5+5+5=25 | | 25=-x/3 | | 12x^2+36=0 | | 8a+10=6a+40 | | 18n+0.6N=4.8 | | 3y^2+14y-5= | | 1+d=45 | | 13(z-7)=60 | | h-7=24 | | m-5=24 | | (x)^1/2 | | y=cos^6(x) | | 3w^2-2w-33= | | 2x+4=(6x-1) | | x^2-12x+32=(x-8)(x-4) | | Y^2+12.25y=18 | | 18=y^2+12.25y | | 3c^2-2c-16= | | x^10=42 | | x^2-49/64 | | 3x-11=5x+5 | | 20/10,000= | | 17-6x=12-7 | | X^3/5=20 | | (6x-8)^1/2 | | ((6x-8)^1/2)=x | | 2(z+5)+32=-15 | | 0.02x+40x=0.1x | | 5ln(3x+4)=12 | | 5x-40=80-x | | 90-5x=25 | | 5x+7=3(4-p) |