4Y^2=-4Y-1

Simple and best practice solution for 4Y^2=-4Y-1 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 4Y^2=-4Y-1 equation:


Simplifying
4Y2 = -4Y + -1

Reorder the terms:
4Y2 = -1 + -4Y

Solving
4Y2 = -1 + -4Y

Solving for variable 'Y'.

Reorder the terms:
1 + 4Y + 4Y2 = -1 + -4Y + 1 + 4Y

Reorder the terms:
1 + 4Y + 4Y2 = -1 + 1 + -4Y + 4Y

Combine like terms: -1 + 1 = 0
1 + 4Y + 4Y2 = 0 + -4Y + 4Y
1 + 4Y + 4Y2 = -4Y + 4Y

Combine like terms: -4Y + 4Y = 0
1 + 4Y + 4Y2 = 0

Factor a trinomial.
(1 + 2Y)(1 + 2Y) = 0

Subproblem 1

Set the factor '(1 + 2Y)' equal to zero and attempt to solve: Simplifying 1 + 2Y = 0 Solving 1 + 2Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2Y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2Y = 0 + -1 2Y = 0 + -1 Combine like terms: 0 + -1 = -1 2Y = -1 Divide each side by '2'. Y = -0.5 Simplifying Y = -0.5

Subproblem 2

Set the factor '(1 + 2Y)' equal to zero and attempt to solve: Simplifying 1 + 2Y = 0 Solving 1 + 2Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2Y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2Y = 0 + -1 2Y = 0 + -1 Combine like terms: 0 + -1 = -1 2Y = -1 Divide each side by '2'. Y = -0.5 Simplifying Y = -0.5

Solution

Y = {-0.5, -0.5}

See similar equations:

| 3X^2-2=X^2+6 | | X^2=8X | | Y^2=-7Y-10 | | X^2-3X-10=0 | | Y^2=49 | | 23P=5P^2+24 | | U^3=14U^2+32U | | 3Y^2+2Y-1=0 | | S^2=56S-S^3 | | 6X^2=16X-8 | | X^2-3X-40= | | X^2-22X-75= | | n^2-16N=O | | c^2+8cd+15d^2= | | x^2+6x+8= | | 2y^2-10y+9=0 | | ln(5)+x^2=6 | | (X-12)(x^2+2x-3)= | | (8x^4-15x^3)-(-20x^4+13x^3)= | | -5x^5(-6x^4-10)= | | (2x^2-6x+18)-(8x^2-11x-5)= | | (2x^2-6x+18)-(8x^2-11x-4)= | | X^2-9= | | (6x^2+5x-15)+(10x+15)= | | 3n^2+19=382 | | 3x^2-12x+8=0 | | 0=12x^2-1 | | 3t=t^2-28 | | 3t=r^2-28 | | x^2+4x+11=14 | | 12x^4+7x^3+2x^2+7x-10=0 | | m^2+8m+12=0 |

Equations solver categories