-2y^2-7y=3

Simple and best practice solution for -2y^2-7y=3 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 -2y^2-7y=3 equation:


Simplifying
-2y2 + -7y = 3

Reorder the terms:
-7y + -2y2 = 3

Solving
-7y + -2y2 = 3

Solving for variable 'y'.

Reorder the terms:
-3 + -7y + -2y2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -7y + -2y2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + 7y + 2y2) = 0

Factor a trinomial.
-1((3 + y)(1 + 2y)) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Simplifying y = -3

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 = {-3, -0.5}

See similar equations:

| -5x-6=-41 | | log[5](20x+10)-log[5]x=4 | | 4b+5=11 | | X/17=-24 | | y=-5/2(-4)+4 | | y=-5/2(0)+4 | | z^3+iz^2+18i-3z=0 | | 4x+5(x-3)=48 | | (3x^2+7)(x^2+8)= | | z^3+iz^2+18i-3z=2i | | 8=6k-4(k+1) | | 5x^3+14x^2+13x-4=0 | | 5x^3+14x^2+13x-4= | | (x+2)+(x+4)+(x+6)+(+8)=212 | | -2x^2+5x+1=0 | | 3x+24=6(x+5) | | (x+2)+(x+4)+(x+6)=212 | | -3k+10=2k-21 | | 1/3=1/4+2/3 | | 3z+(+2)=-8 | | y=-5/2(2)+2 | | 1/5x2 | | y=-5/2(-2)+2 | | y=-5/2(0)+2 | | z^3+iz^2+18i=3z | | -12+4n=-6+3n | | 5j+3(2j+1)=80 | | -n(10n+4)=0 | | 10+5=3x+9 | | 3/4y-1/2=5/3 | | y=-5/3(3)+3 | | 3/15*1/25 |

Equations solver categories