If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (y + -10) * y = 400 Reorder the terms: (-10 + y) * y = 400 Reorder the terms for easier multiplication: y(-10 + y) = 400 (-10 * y + y * y) = 400 (-10y + y2) = 400 Solving -10y + y2 = 400 Solving for variable 'y'. Reorder the terms: -400 + -10y + y2 = 400 + -400 Combine like terms: 400 + -400 = 0 -400 + -10y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '400' to each side of the equation. -400 + -10y + 400 + y2 = 0 + 400 Reorder the terms: -400 + 400 + -10y + y2 = 0 + 400 Combine like terms: -400 + 400 = 0 0 + -10y + y2 = 0 + 400 -10y + y2 = 0 + 400 Combine like terms: 0 + 400 = 400 -10y + y2 = 400 The y term is -10y. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10y + 25 + y2 = 400 + 25 Reorder the terms: 25 + -10y + y2 = 400 + 25 Combine like terms: 400 + 25 = 425 25 + -10y + y2 = 425 Factor a perfect square on the left side: (y + -5)(y + -5) = 425 Calculate the square root of the right side: 20.615528128 Break this problem into two subproblems by setting (y + -5) equal to 20.615528128 and -20.615528128.Subproblem 1
y + -5 = 20.615528128 Simplifying y + -5 = 20.615528128 Reorder the terms: -5 + y = 20.615528128 Solving -5 + y = 20.615528128 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + y = 20.615528128 + 5 Combine like terms: -5 + 5 = 0 0 + y = 20.615528128 + 5 y = 20.615528128 + 5 Combine like terms: 20.615528128 + 5 = 25.615528128 y = 25.615528128 Simplifying y = 25.615528128Subproblem 2
y + -5 = -20.615528128 Simplifying y + -5 = -20.615528128 Reorder the terms: -5 + y = -20.615528128 Solving -5 + y = -20.615528128 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + y = -20.615528128 + 5 Combine like terms: -5 + 5 = 0 0 + y = -20.615528128 + 5 y = -20.615528128 + 5 Combine like terms: -20.615528128 + 5 = -15.615528128 y = -15.615528128 Simplifying y = -15.615528128Solution
The solution to the problem is based on the solutions from the subproblems. y = {25.615528128, -15.615528128}
| -9x+63=9x-63 | | 4(x+5)+3(x+3)=60 | | 14y^2-6y+3= | | 3w^2+11w-20=0 | | 6.4+1.9n=1.08 | | -4m-25-2(m-3)=2m-(6m-2)-7m+4 | | (6x+8)+14=9 | | .25x-2=.37x | | -8x+x=-4-5 | | (y-10)y=375 | | 3x+5=7x-9 | | -4x+1=2(-2x-3) | | 29x-13(2)=19x+12 | | 8(.75x-7)=8(.875x) | | 9x-11(k+p)=x(a-1) | | 8x-4=-24 | | (7a^3+a-8)-(4-8a^3-7a^2)= | | 3-x=11+x | | .75x-7=.87 | | 5x^4-28x+32=0 | | (5p+3q)(-2p+9q)= | | .75x-7=.875 | | 2(x+4)=4x+8 | | 5x^4-28x=32 | | 3(x+2)=8(3-4x) | | (52x+49y)-(-25x+8y)= | | y^2-y-56=0 | | (72x+52y)-(12x+36y)= | | 8k=3 | | 5(x-9)(x-9)-30=0 | | (5x+2y)(7x-11y)= | | y^3+2y^2-3y=0 |