4y^2-8y-21=

Simple and best practice solution for 4y^2-8y-21= 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^2-8y-21= equation:


Simplifying
4y2 + -8y + -21 = 0

Reorder the terms:
-21 + -8y + 4y2 = 0

Solving
-21 + -8y + 4y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-3 + -2y)(7 + -2y) = 0

Subproblem 1

Set the factor '(-3 + -2y)' equal to zero and attempt to solve: Simplifying -3 + -2y = 0 Solving -3 + -2y = 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 + -2y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2y = 0 + 3 -2y = 0 + 3 Combine like terms: 0 + 3 = 3 -2y = 3 Divide each side by '-2'. y = -1.5 Simplifying y = -1.5

Subproblem 2

Set the factor '(7 + -2y)' equal to zero and attempt to solve: Simplifying 7 + -2y = 0 Solving 7 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2y = 0 + -7 -2y = 0 + -7 Combine like terms: 0 + -7 = -7 -2y = -7 Divide each side by '-2'. y = 3.5 Simplifying y = 3.5

Solution

y = {-1.5, 3.5}

See similar equations:

| 8x-3x=-11 | | 345-k=231 | | t/4-4=2 | | P/7=-2/14 | | g/3-6=2 | | 2=(5)-3 | | 5=(2)-3 | | 63/c=9 | | 2=(-5)-3 | | 10x-8y=-12 | | 5=(-2)-3 | | f/3-5=3 | | 4d*6=42 | | -10=5(-2) | | 1x+20y+50z=500 | | 4(2y+4)=6y+8 | | 43-k=42 | | 15=5(-3) | | c+9.79=20.00 | | 8n-7=49 | | (77-32)5/9 | | 2t-3(x+4)=-5 | | 25=5(-5) | | 6=5q-14 | | 21z^2-37z+12= | | 10=5(-2) | | 49=22+3v | | -7=-7(1)+2 | | 2x+5(12)=2x+2(14) | | x/5=8.5 | | -35=-7(5)+2 | | 6x-4x+23=24 |

Equations solver categories