If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (42) * 7 = (14 + y) * y Multiply 42 * 7 294 = (14 + y) * y Reorder the terms for easier multiplication: 294 = y(14 + y) 294 = (14 * y + y * y) 294 = (14y + y2) Solving 294 = 14y + y2 Solving for variable 'y'. Reorder the terms: 294 + -14y + -1y2 = 14y + -14y + y2 + -1y2 Combine like terms: 14y + -14y = 0 294 + -14y + -1y2 = 0 + y2 + -1y2 294 + -14y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 294 + -14y + -1y2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -294 + 14y + y2 = 0 Move the constant term to the right: Add '294' to each side of the equation. -294 + 14y + 294 + y2 = 0 + 294 Reorder the terms: -294 + 294 + 14y + y2 = 0 + 294 Combine like terms: -294 + 294 = 0 0 + 14y + y2 = 0 + 294 14y + y2 = 0 + 294 Combine like terms: 0 + 294 = 294 14y + y2 = 294 The y term is 14y. Take half its coefficient (7). Square it (49) and add it to both sides. Add '49' to each side of the equation. 14y + 49 + y2 = 294 + 49 Reorder the terms: 49 + 14y + y2 = 294 + 49 Combine like terms: 294 + 49 = 343 49 + 14y + y2 = 343 Factor a perfect square on the left side: (y + 7)(y + 7) = 343 Calculate the square root of the right side: 18.520259177 Break this problem into two subproblems by setting (y + 7) equal to 18.520259177 and -18.520259177.Subproblem 1
y + 7 = 18.520259177 Simplifying y + 7 = 18.520259177 Reorder the terms: 7 + y = 18.520259177 Solving 7 + y = 18.520259177 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + y = 18.520259177 + -7 Combine like terms: 7 + -7 = 0 0 + y = 18.520259177 + -7 y = 18.520259177 + -7 Combine like terms: 18.520259177 + -7 = 11.520259177 y = 11.520259177 Simplifying y = 11.520259177Subproblem 2
y + 7 = -18.520259177 Simplifying y + 7 = -18.520259177 Reorder the terms: 7 + y = -18.520259177 Solving 7 + y = -18.520259177 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + y = -18.520259177 + -7 Combine like terms: 7 + -7 = 0 0 + y = -18.520259177 + -7 y = -18.520259177 + -7 Combine like terms: -18.520259177 + -7 = -25.520259177 y = -25.520259177 Simplifying y = -25.520259177Solution
The solution to the problem is based on the solutions from the subproblems. y = {11.520259177, -25.520259177}
| 3(x-4)=x+19 | | 12.5=2h-3.5 | | 8(5-2a)-13=9 | | f(x)=x^2+16 | | 3(a-7)=36 | | 16xy=96 | | 4x+2=20+x | | 7+5a=15 | | 4x+7=-6x+7 | | 41=x-6x+1 | | -40=-3x-4x-5 | | -4x+8+5x=12 | | 5(a-6)-8a=0 | | 6x+10+2x=58 | | 10x+4y+6z-5x+4z-7y= | | 3(2x+1)+3=30 | | 11x+10=7x+12 | | 3P=1765-2Q | | 13x+4=2x+20 | | 12(x-4)=6x-16 | | 5x+8y=31 | | 3x-11=-7 | | k=re+g | | -27+18x-3x^2=0 | | x^2-8x+4m-5=0 | | 15y-18=7y+16 | | 3x^3-7x^2-7x+3=0 | | 15+3x=51-x-x-x | | 22x-17=12+8 | | a+2b+c=455 | | lg(4x-3)=2lgx | | y/7-y/12=55 |