If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2y(y + 5) = 27 Reorder the terms: 2y(5 + y) = 27 (5 * 2y + y * 2y) = 27 (10y + 2y2) = 27 Solving 10y + 2y2 = 27 Solving for variable 'y'. Reorder the terms: -27 + 10y + 2y2 = 27 + -27 Combine like terms: 27 + -27 = 0 -27 + 10y + 2y2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -13.5 + 5y + y2 = 0 Move the constant term to the right: Add '13.5' to each side of the equation. -13.5 + 5y + 13.5 + y2 = 0 + 13.5 Reorder the terms: -13.5 + 13.5 + 5y + y2 = 0 + 13.5 Combine like terms: -13.5 + 13.5 = 0.0 0.0 + 5y + y2 = 0 + 13.5 5y + y2 = 0 + 13.5 Combine like terms: 0 + 13.5 = 13.5 5y + y2 = 13.5 The y term is 5y. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5y + 6.25 + y2 = 13.5 + 6.25 Reorder the terms: 6.25 + 5y + y2 = 13.5 + 6.25 Combine like terms: 13.5 + 6.25 = 19.75 6.25 + 5y + y2 = 19.75 Factor a perfect square on the left side: (y + 2.5)(y + 2.5) = 19.75 Calculate the square root of the right side: 4.444097209 Break this problem into two subproblems by setting (y + 2.5) equal to 4.444097209 and -4.444097209.Subproblem 1
y + 2.5 = 4.444097209 Simplifying y + 2.5 = 4.444097209 Reorder the terms: 2.5 + y = 4.444097209 Solving 2.5 + y = 4.444097209 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + y = 4.444097209 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + y = 4.444097209 + -2.5 y = 4.444097209 + -2.5 Combine like terms: 4.444097209 + -2.5 = 1.944097209 y = 1.944097209 Simplifying y = 1.944097209Subproblem 2
y + 2.5 = -4.444097209 Simplifying y + 2.5 = -4.444097209 Reorder the terms: 2.5 + y = -4.444097209 Solving 2.5 + y = -4.444097209 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + y = -4.444097209 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + y = -4.444097209 + -2.5 y = -4.444097209 + -2.5 Combine like terms: -4.444097209 + -2.5 = -6.944097209 y = -6.944097209 Simplifying y = -6.944097209Solution
The solution to the problem is based on the solutions from the subproblems. y = {1.944097209, -6.944097209}
| -14r=-42 | | 8-8(5-5x)=0 | | 12x^3-15x^2+8x-10=0 | | 7-5(6x+3)=8 | | 2x^2+3y=9 | | 3(x+1.6)-8x=9.5 | | 11x-11=9x+10 | | Ax-d=bx+c | | 19x^2-26x+11y^2+38y+6xy=-31 | | -1=n+15 | | 3x+8-.5x=12.4 | | 121x^4-64y^4=0 | | V+19=24 | | -15.00-(-2.00t)=13.00 | | 3v-8=13 | | 3-8=13 | | x-x^2=0.9 | | 4n-6=-2n-18 | | 7x^2+19x+10=(7x+5) | | 8j+13=3(j+11) | | 5x+2x+2x=81 | | CosA=-.5 | | 15=y+b | | 6x-13=-49 | | 6i+5=2i+13 | | -32x+16=0 | | -4+3*2=x | | (4x+12)/4=17 | | 2(3x)+4(36)-6x=-4(6x+3)+12 | | 4(6x-3)=24 | | 3cosx-0.5=5cosx | | in(3x+2)=4 |