4(10+-2.5y)10y=40

Simple and best practice solution for 4(10+-2.5y)10y=40 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 4(10+-2.5y)10y=40 equation:


Simplifying
4(10 + -2.5y) * 10y = 40

Reorder the terms for easier multiplication:
4 * 10y(10 + -2.5y) = 40

Multiply 4 * 10
40y(10 + -2.5y) = 40
(10 * 40y + -2.5y * 40y) = 40
(400y + -100y2) = 40

Solving
400y + -100y2 = 40

Solving for variable 'y'.

Reorder the terms:
-40 + 400y + -100y2 = 40 + -40

Combine like terms: 40 + -40 = 0
-40 + 400y + -100y2 = 0

Factor out the Greatest Common Factor (GCF), '20'.
20(-2 + 20y + -5y2) = 0

Ignore the factor 20.

Subproblem 1

Set the factor '(-2 + 20y + -5y2)' equal to zero and attempt to solve: Simplifying -2 + 20y + -5y2 = 0 Solving -2 + 20y + -5y2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 0.4 + -4y + y2 = 0 Move the constant term to the right: Add '-0.4' to each side of the equation. 0.4 + -4y + -0.4 + y2 = 0 + -0.4 Reorder the terms: 0.4 + -0.4 + -4y + y2 = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -4y + y2 = 0 + -0.4 -4y + y2 = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 -4y + y2 = -0.4 The y term is -4y. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4y + 4 + y2 = -0.4 + 4 Reorder the terms: 4 + -4y + y2 = -0.4 + 4 Combine like terms: -0.4 + 4 = 3.6 4 + -4y + y2 = 3.6 Factor a perfect square on the left side: (y + -2)(y + -2) = 3.6 Calculate the square root of the right side: 1.897366596 Break this problem into two subproblems by setting (y + -2) equal to 1.897366596 and -1.897366596.

Subproblem 1

y + -2 = 1.897366596 Simplifying y + -2 = 1.897366596 Reorder the terms: -2 + y = 1.897366596 Solving -2 + y = 1.897366596 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + y = 1.897366596 + 2 Combine like terms: -2 + 2 = 0 0 + y = 1.897366596 + 2 y = 1.897366596 + 2 Combine like terms: 1.897366596 + 2 = 3.897366596 y = 3.897366596 Simplifying y = 3.897366596

Subproblem 2

y + -2 = -1.897366596 Simplifying y + -2 = -1.897366596 Reorder the terms: -2 + y = -1.897366596 Solving -2 + y = -1.897366596 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + y = -1.897366596 + 2 Combine like terms: -2 + 2 = 0 0 + y = -1.897366596 + 2 y = -1.897366596 + 2 Combine like terms: -1.897366596 + 2 = 0.102633404 y = 0.102633404 Simplifying y = 0.102633404

Solution

The solution to the problem is based on the solutions from the subproblems. y = {3.897366596, 0.102633404}

Solution

y = {3.897366596, 0.102633404}

See similar equations:

| y*3=7x+5 | | q+72=122 | | 4b+2y=22 | | 4k-7=3(1+2k) | | 8y-6-2y+9= | | 80n-46n=68 | | 10x(0)+5y=45 | | r-29=4 | | 9x=3y+5 | | -5y+16+9=1-7y+6y | | -10x+5y(0)=45 | | -2x-9y=13 | | x-(-8)= | | f(5)=9x+4 | | k+18=86 | | -8x-7y=21 | | 2(5c-5.2)=-20.2 | | x-3a=5 | | 29/6= | | W-13=27 | | 16x^2+x^6-8x^4=0 | | m+11=n | | 2(x-2)+2=10 | | 7(x-1)-2=5x+2(-3+x) | | 4.75=x+(-0.25) | | 9.3+r=5.1 | | 42+4y-13=14y-13-3y | | 3u+6y=21 | | 4r+4(r+2)=392 | | 7(3n-3)=9(n+1)+3 | | 2y=xtable | | 90-y=y+30 |

Equations solver categories