(y-4)(y+7)=0

Simple and best practice solution for (y-4)(y+7)=0 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 (y-4)(y+7)=0 equation:


Simplifying
(y + -4)(y + 7) = 0

Reorder the terms:
(-4 + y)(y + 7) = 0

Reorder the terms:
(-4 + y)(7 + y) = 0

Multiply (-4 + y) * (7 + y)
(-4(7 + y) + y(7 + y)) = 0
((7 * -4 + y * -4) + y(7 + y)) = 0
((-28 + -4y) + y(7 + y)) = 0
(-28 + -4y + (7 * y + y * y)) = 0
(-28 + -4y + (7y + y2)) = 0

Combine like terms: -4y + 7y = 3y
(-28 + 3y + y2) = 0

Solving
-28 + 3y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-7 + -1y)(4 + -1y) = 0

Subproblem 1

Set the factor '(-7 + -1y)' equal to zero and attempt to solve: Simplifying -7 + -1y = 0 Solving -7 + -1y = 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 + -1y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1y = 0 + 7 -1y = 0 + 7 Combine like terms: 0 + 7 = 7 -1y = 7 Divide each side by '-1'. y = -7 Simplifying y = -7

Subproblem 2

Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4

Solution

y = {-7, 4}

See similar equations:

| b(3b-4)=0 | | 3x^3+13x^2+4x=0 | | 1.12=x^12 | | -4y+6=-18 | | 4n(n+8)=0 | | 10n^2-9=5n | | (36/y)(y)=36 | | log(4)(2x+6)=1 | | 4t+5t-8+4=6t-4 | | 18.4=b-3.69 | | X^2(x-7)+16(x-7)= | | 2/7(4x+7)-3x=9 | | X^2(x-7)-16(x-7)= | | 2/3x^2-8x-22=0 | | 30+50d=290 | | 3(2b+1)-2(3-b)=13 | | X/7=91/3 | | (2x)(y)=36 | | (3n-1)+1(4-1n)= | | X/7=9.1/3 | | 5(7-d)=90 | | -15-3x=4x-2 | | -1(1x-5)=9 | | n/4+4=12 | | n-18/7-2/7=-69/56 | | -7=4-9y | | -7v+8v=4 | | 19=g/11 | | -3a^2+6a-20=-8a^2 | | 8t-4=8-4t | | 6x+y=2y+8 | | 18x^2+27x= |

Equations solver categories