(a+5)(a-8)=0

Simple and best practice solution for (a+5)(a-8)=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 (a+5)(a-8)=0 equation:


Simplifying
(a + 5)(a + -8) = 0

Reorder the terms:
(5 + a)(a + -8) = 0

Reorder the terms:
(5 + a)(-8 + a) = 0

Multiply (5 + a) * (-8 + a)
(5(-8 + a) + a(-8 + a)) = 0
((-8 * 5 + a * 5) + a(-8 + a)) = 0
((-40 + 5a) + a(-8 + a)) = 0
(-40 + 5a + (-8 * a + a * a)) = 0
(-40 + 5a + (-8a + a2)) = 0

Combine like terms: 5a + -8a = -3a
(-40 + -3a + a2) = 0

Solving
-40 + -3a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-5 + -1a)(8 + -1a) = 0

Subproblem 1

Set the factor '(-5 + -1a)' equal to zero and attempt to solve: Simplifying -5 + -1a = 0 Solving -5 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1a = 0 + 5 -1a = 0 + 5 Combine like terms: 0 + 5 = 5 -1a = 5 Divide each side by '-1'. a = -5 Simplifying a = -5

Subproblem 2

Set the factor '(8 + -1a)' equal to zero and attempt to solve: Simplifying 8 + -1a = 0 Solving 8 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1a = 0 + -8 -1a = 0 + -8 Combine like terms: 0 + -8 = -8 -1a = -8 Divide each side by '-1'. a = 8 Simplifying a = 8

Solution

a = {-5, 8}

See similar equations:

| 192+k+12=213 | | 4[5-1.5x]+5=33 | | 6y-1.5x=y | | 2+10+(-10)+10= | | -2(1-5x)+6=64 | | (-5-i)(x)=3+11i | | 4x-45=x+15 | | 2(x+5)=10x+14 | | 4(2x-7)+8=12 | | 2(3x+7)+2(4x-2)=y | | 50+3x=86-4x | | 0.3(x+70)+0.5x=37 | | 3x+2+4x+5+x-3=35 | | 3(3x+4)=22 | | 18-x=23 | | x^2+20x-50=0 | | p=16+3x | | -120=-6x | | 0.35(x)+0.40(19)=0.36(x+19) | | 6w^2+96=0 | | 19-4(2x+3y)= | | 9-8x=x-2x-63 | | m-4m+7m+2= | | 7-(2x-5)=16 | | -168=6(-7-3x) | | -75-[7-8y-3(6y-2)]=-3(4y-7)-3[3(y-1)-4+6y] | | 7x-16=49 | | 10z^2+40=0 | | 2x+(x+10)+59=360 | | 13(x+1)-4x=3(3v+3)-10 | | 3=-(-y-12) | | x-5y+-10+3y-x= |

Equations solver categories