(a+3)(a-12)=0

Simple and best practice solution for (a+3)(a-12)=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+3)(a-12)=0 equation:


Simplifying
(a + 3)(a + -12) = 0

Reorder the terms:
(3 + a)(a + -12) = 0

Reorder the terms:
(3 + a)(-12 + a) = 0

Multiply (3 + a) * (-12 + a)
(3(-12 + a) + a(-12 + a)) = 0
((-12 * 3 + a * 3) + a(-12 + a)) = 0
((-36 + 3a) + a(-12 + a)) = 0
(-36 + 3a + (-12 * a + a * a)) = 0
(-36 + 3a + (-12a + a2)) = 0

Combine like terms: 3a + -12a = -9a
(-36 + -9a + a2) = 0

Solving
-36 + -9a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-3 + -1a)(12 + -1a) = 0

Subproblem 1

Set the factor '(-3 + -1a)' equal to zero and attempt to solve: Simplifying -3 + -1a = 0 Solving -3 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1a = 0 + 3 -1a = 0 + 3 Combine like terms: 0 + 3 = 3 -1a = 3 Divide each side by '-1'. a = -3 Simplifying a = -3

Subproblem 2

Set the factor '(12 + -1a)' equal to zero and attempt to solve: Simplifying 12 + -1a = 0 Solving 12 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1a = 0 + -12 -1a = 0 + -12 Combine like terms: 0 + -12 = -12 -1a = -12 Divide each side by '-1'. a = 12 Simplifying a = 12

Solution

a = {-3, 12}

See similar equations:

| X=-2y+40 | | 3x-2+6=2 | | 4(x+4)+3=-17 | | 2a+5+2b=75 | | -0.05x-0.08=0.03-0.04(2x-1) | | -4(7x+9)=-28x+36 | | 3x-4=10-(5-x) | | 4x-7+6=-17 | | 6x-15=x+4 | | 3+y=22 | | 2(3x+1)=-2(x-9)+4x | | 6(-3)-9(1.2)=15 | | 6(-3)-9(9.2)=15 | | 9(5-z)=-8z | | 7x^2+17x=0 | | y=0.5x+50 | | 5q=-72 | | 3x(x)=24 | | -9x+16=-4x+36 | | 7x^2+11x-2=0 | | 5(3-z)=-4z | | 3(2x-4)=6x+7 | | 15(m)+20=10 | | 1.5(6-y)=7 | | 5+3(4+2x)=6x | | 2x-6=2x+4(x-2) | | x+78+110=180 | | 4r+2r=-32 | | 5x+9=32 | | 5x^3-3x^2-10x+6= | | 8x+6=8(x+8) | | X+y+3=6 |

Equations solver categories