k(0)=(x-3)(3x+4)

Simple and best practice solution for k(0)=(x-3)(3x+4) 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 k(0)=(x-3)(3x+4) equation: 


Simplifying
k(0) = (x + -3)(3x + 4)

Reorder the terms for easier multiplication:
0k = (x + -3)(3x + 4)

Anything times zero is zero.
0k = (x + -3)(3x + 4)

Reorder the terms:
0 = (-3 + x)(3x + 4)

Reorder the terms:
0 = (-3 + x)(4 + 3x)

Multiply (-3 + x) * (4 + 3x)
0 = (-3(4 + 3x) + x(4 + 3x))
0 = ((4 * -3 + 3x * -3) + x(4 + 3x))
0 = ((-12 + -9x) + x(4 + 3x))
0 = (-12 + -9x + (4 * x + 3x * x))
0 = (-12 + -9x + (4x + 3x2))

Combine like terms: -9x + 4x = -5x
0 = (-12 + -5x + 3x2)

Solving
0 = -12 + -5x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + 12 = 12
12 + 5x + -3x2 = -12 + -5x + 3x2 + 12 + 5x + -3x2

Reorder the terms:
12 + 5x + -3x2 = -12 + 12 + -5x + 5x + 3x2 + -3x2

Combine like terms: -12 + 12 = 0
12 + 5x + -3x2 = 0 + -5x + 5x + 3x2 + -3x2
12 + 5x + -3x2 = -5x + 5x + 3x2 + -3x2

Combine like terms: -5x + 5x = 0
12 + 5x + -3x2 = 0 + 3x2 + -3x2
12 + 5x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
12 + 5x + -3x2 = 0

Factor a trinomial.
(3 + -1x)(4 + 3x) = 0


Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

Subproblem 2
Set the factor '(4 + 3x)' equal to zero and attempt to solve:

Simplifying
4 + 3x = 0

Solving
4 + 3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + 3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 0 + -4
3x = 0 + -4

Combine like terms: 0 + -4 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333
Solution
x = {3, -1.333333333}

See similar equations:

| f(2)=x^2+9x-22 | | 3x+4y-4=0 | | 4x+6x=12 | | f(-11)=x^2+9x-22 | | f(x+2)=x^2+9x-22 | | X^2+14x=240 | | 9a=2a-14 | | f(5)=x^2+9x-22 | | f(-10)=x^2+9x-22 | | 3C=C+32 | | f(0)=x^2+9x-22 | | 3(y-3)-5=4(-6y+3)-9y | | 2x+3+5x=-31x | | X^4y^6-22x^3y^4z+121x^2y^2z^2=0 | | X=0.6666666667+-1.333333333 | | 16x-10y=6 | | -18x=42+11x-4 | | 3/8(11/6)=p | | 12a^3+36a^2b+27ab^2=0 | | X=3.5+-1.5 | | 5(x+2)=c-1 | | -9x^3-18x^2-9x=0 | | Y-2=-(x-8) | | (x^3/5)^2 | | 13x-7y=33 | | 18x^3-12x^2+2x=0 | | 7z-1=8z-r | | 360/4 | | 30y=8+32 | | 3x-6=6y | | 2x-3.3=0.9 | | w^3=64 |

Equations solver categories