If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2(-3.4 + -1.6y) * 7y = -17 Reorder the terms for easier multiplication: 2 * 7y(-3.4 + -1.6y) = -17 Multiply 2 * 7 14y(-3.4 + -1.6y) = -17 (-3.4 * 14y + -1.6y * 14y) = -17 (-47.6y + -22.4y2) = -17 Solving -47.6y + -22.4y2 = -17 Solving for variable 'y'. Reorder the terms: 17 + -47.6y + -22.4y2 = -17 + 17 Combine like terms: -17 + 17 = 0 17 + -47.6y + -22.4y2 = 0 Begin completing the square. Divide all terms by -22.4 the coefficient of the squared term: Divide each side by '-22.4'. -0.7589285714 + 2.125y + y2 = 0 Move the constant term to the right: Add '0.7589285714' to each side of the equation. -0.7589285714 + 2.125y + 0.7589285714 + y2 = 0 + 0.7589285714 Reorder the terms: -0.7589285714 + 0.7589285714 + 2.125y + y2 = 0 + 0.7589285714 Combine like terms: -0.7589285714 + 0.7589285714 = 0.0000000000 0.0000000000 + 2.125y + y2 = 0 + 0.7589285714 2.125y + y2 = 0 + 0.7589285714 Combine like terms: 0 + 0.7589285714 = 0.7589285714 2.125y + y2 = 0.7589285714 The y term is 2.125y. Take half its coefficient (1.0625). Square it (1.12890625) and add it to both sides. Add '1.12890625' to each side of the equation. 2.125y + 1.12890625 + y2 = 0.7589285714 + 1.12890625 Reorder the terms: 1.12890625 + 2.125y + y2 = 0.7589285714 + 1.12890625 Combine like terms: 0.7589285714 + 1.12890625 = 1.8878348214 1.12890625 + 2.125y + y2 = 1.8878348214 Factor a perfect square on the left side: (y + 1.0625)(y + 1.0625) = 1.8878348214 Calculate the square root of the right side: 1.373985015 Break this problem into two subproblems by setting (y + 1.0625) equal to 1.373985015 and -1.373985015.Subproblem 1
y + 1.0625 = 1.373985015 Simplifying y + 1.0625 = 1.373985015 Reorder the terms: 1.0625 + y = 1.373985015 Solving 1.0625 + y = 1.373985015 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.0625' to each side of the equation. 1.0625 + -1.0625 + y = 1.373985015 + -1.0625 Combine like terms: 1.0625 + -1.0625 = 0.0000 0.0000 + y = 1.373985015 + -1.0625 y = 1.373985015 + -1.0625 Combine like terms: 1.373985015 + -1.0625 = 0.311485015 y = 0.311485015 Simplifying y = 0.311485015Subproblem 2
y + 1.0625 = -1.373985015 Simplifying y + 1.0625 = -1.373985015 Reorder the terms: 1.0625 + y = -1.373985015 Solving 1.0625 + y = -1.373985015 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.0625' to each side of the equation. 1.0625 + -1.0625 + y = -1.373985015 + -1.0625 Combine like terms: 1.0625 + -1.0625 = 0.0000 0.0000 + y = -1.373985015 + -1.0625 y = -1.373985015 + -1.0625 Combine like terms: -1.373985015 + -1.0625 = -2.436485015 y = -2.436485015 Simplifying y = -2.436485015Solution
The solution to the problem is based on the solutions from the subproblems. y = {0.311485015, -2.436485015}
| 71=9n+8 | | 75=x/165 | | -11=7-6v | | 2x^(2/3)-5x^(4/3) | | x^2-60x+1200=0 | | 71=7-6v | | 5x-1=-15+7x | | 3(5-9x)+11=313 | | 10+2x=x+21 | | 10(s-9)=-138 | | 30=3k-9 | | 3x+23=24 | | 11a-9-4a=3a+21 | | 7n^2-21n+3n-9=0 | | 5x/9=14/3 | | -5p=-10 | | 7(13x-14x)=-9 | | 15y=45(3) | | 11n+8=10n+12 | | 9=2(3x+5) | | x=6-3y/2 | | 4x-12=-6x-72 | | 3y^2+38y-13=0 | | 7n+6+4n-2=2(4n+6)+2n | | 2-x=13(-11) | | x+2.54=1.38 | | 31x^2+29x=0 | | 9.3-4d=2.3d+3 | | 2/3x16= | | x^3+2x^2+3x-10=1 | | x+4=-7(-11) | | 2/5x1/10 |