a(a+8)(a-7)=0

Simple and best practice solution for a(a+8)(a-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 a(a+8)(a-7)=0 equation:


Simplifying
a(a + 8)(a + -7) = 0

Reorder the terms:
a(8 + a)(a + -7) = 0

Reorder the terms:
a(8 + a)(-7 + a) = 0

Multiply (8 + a) * (-7 + a)
a(8(-7 + a) + a(-7 + a)) = 0
a((-7 * 8 + a * 8) + a(-7 + a)) = 0
a((-56 + 8a) + a(-7 + a)) = 0
a(-56 + 8a + (-7 * a + a * a)) = 0
a(-56 + 8a + (-7a + a2)) = 0

Combine like terms: 8a + -7a = 1a
a(-56 + 1a + a2) = 0
(-56 * a + 1a * a + a2 * a) = 0
(-56a + 1a2 + a3) = 0

Solving
-56a + 1a2 + a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(-56 + a + a2) = 0

Factor a trinomial.
a((-8 + -1a)(7 + -1a)) = 0

Subproblem 1

Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0

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

Subproblem 3

Set the factor '(7 + -1a)' equal to zero and attempt to solve: Simplifying 7 + -1a = 0 Solving 7 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1a = 0 + -7 -1a = 0 + -7 Combine like terms: 0 + -7 = -7 -1a = -7 Divide each side by '-1'. a = 7 Simplifying a = 7

Solution

a = {0, -8, 7}

See similar equations:

| t/3-8=-2 | | 110=(2x+2y) | | -y/8=-2 | | (X+6)+(y+4)=56 | | c+2+8=4 | | 3(2x+4)=4x-12+4x | | -104=88x | | 61-3x=67-12x | | -1/10x^2-5x | | 3(x+14)=6(x+12) | | -6s-2=8s-4 | | -5(y-4)+2=17 | | 4z=75+z | | 2x-3(5-x)=40 | | -4x+9y-9=0 | | 150w+2w=195-1w | | 2(2w-6)+w=88 | | 8g-12+7=59 | | 100x^2+160x+64=0 | | K=-K | | 6x-1=7+6x | | 40/48,56/42 | | x/3-7x/12=4/6 | | (q-10)*4=20 | | 2k-3=-1 | | 6w-12=6w-12 | | y+5x=16 | | 6y+12=24 | | 13+7p=15t | | .504= | | 2x-9x^(2/9)=0 | | 6z+10=6n-2n |

Equations solver categories