8y+((2y)(2y))=286

Simple and best practice solution for 8y+((2y)(2y))=286 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 8y+((2y)(2y))=286 equation:


Simplifying
8y + ((2y)(2y)) = 286

Remove parenthesis around (2y)
8y + (2y(2y)) = 286

Remove parenthesis around (2y)
8y + (2y * 2y) = 286

Reorder the terms for easier multiplication:
8y + (2 * 2y * y) = 286

Multiply 2 * 2
8y + (4y * y) = 286

Multiply y * y
8y + (4y2) = 286

Solving
8y + (4y2) = 286

Solving for variable 'y'.

Reorder the terms:
-286 + 8y + (4y2) = 286 + -286

Combine like terms: 286 + -286 = 0
-286 + 8y + (4y2) = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-143 + 4y + (2y2)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-143 + 4y + (2y2))' equal to zero and attempt to solve: Simplifying -143 + 4y + (2y2) = 0 Solving -143 + 4y + (2y2) = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -71.5 + 2y + y2 = 0 Move the constant term to the right: Add '71.5' to each side of the equation. -71.5 + 2y + 71.5 + y2 = 0 + 71.5 Reorder the terms: -71.5 + 71.5 + 2y + y2 = 0 + 71.5 Combine like terms: -71.5 + 71.5 = 0.0 0.0 + 2y + y2 = 0 + 71.5 2y + y2 = 0 + 71.5 Combine like terms: 0 + 71.5 = 71.5 2y + y2 = 71.5 The y term is 2y. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2y + 1 + y2 = 71.5 + 1 Reorder the terms: 1 + 2y + y2 = 71.5 + 1 Combine like terms: 71.5 + 1 = 72.5 1 + 2y + y2 = 72.5 Factor a perfect square on the left side: ((y) + 1)((y) + 1) = 72.5 Calculate the square root of the right side: 8.514693183 Break this problem into two subproblems by setting ((y) + 1) equal to 8.514693183 and -8.514693183.

Subproblem 1

(y) + 1 = 8.514693183 Simplifying (y) + 1 = 8.514693183 y + 1 = 8.514693183 Reorder the terms: 1 + y = 8.514693183 Solving 1 + y = 8.514693183 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + y = 8.514693183 + -1 Combine like terms: 1 + -1 = 0 0 + y = 8.514693183 + -1 y = 8.514693183 + -1 Combine like terms: 8.514693183 + -1 = 7.514693183 y = 7.514693183 Simplifying y = 7.514693183

Subproblem 2

(y) + 1 = -8.514693183 Simplifying (y) + 1 = -8.514693183 y + 1 = -8.514693183 Reorder the terms: 1 + y = -8.514693183 Solving 1 + y = -8.514693183 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + y = -8.514693183 + -1 Combine like terms: 1 + -1 = 0 0 + y = -8.514693183 + -1 y = -8.514693183 + -1 Combine like terms: -8.514693183 + -1 = -9.514693183 y = -9.514693183 Simplifying y = -9.514693183

Solution

The solution to the problem is based on the solutions from the subproblems. y = {7.514693183, -9.514693183}

Solution

y = {7.514693183, -9.514693183}

See similar equations:

| X^5-6x^3+8x^2-48=0 | | 45=30t-5t^2 | | 7-4x=5-6x | | -7+2=a | | 3n^2-9n-210=0 | | 12.50+0.40=14.75+0.25 | | 9x-5(2x+1)=2(3x-6)-7x | | 2x^2+13x+15=2 | | 11x+9(2)+4x+5(2)=298 | | 33t-78=3 | | 8y((2y)(2y))=286 | | -224=2-12m | | 13(10)-2= | | -11-3x=-4x+13 | | 7+.20=5+0.30 | | 4x+8=4x+3 | | 9x-5(2c+1)=2(3x-6)-7x | | 1/2x-3=3/4x+2 | | 13x-2=10x-7+35 | | 4e+6=2(2e+4) | | 464=0 | | 5x+1+21x-3=180 | | -7w+4(w+6)=18 | | 8.5=3.5y-2.5(5.4-6y) | | 4(5*-3-2)+4p=-80 | | 13x+4x+10=180 | | 5a^2-12a-32=0 | | c^4-11c^2+28=0 | | 23(2+6-8)-27*6= | | 48=3u+5u | | 3x-1/2=x+2 | | 2a^2+a-1=0 |

Equations solver categories