(4k-1)(8k-2)=0

Simple and best practice solution for (4k-1)(8k-2)=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 (4k-1)(8k-2)=0 equation:


Simplifying
(4k + -1)(8k + -2) = 0

Reorder the terms:
(-1 + 4k)(8k + -2) = 0

Reorder the terms:
(-1 + 4k)(-2 + 8k) = 0

Multiply (-1 + 4k) * (-2 + 8k)
(-1(-2 + 8k) + 4k * (-2 + 8k)) = 0
((-2 * -1 + 8k * -1) + 4k * (-2 + 8k)) = 0
((2 + -8k) + 4k * (-2 + 8k)) = 0
(2 + -8k + (-2 * 4k + 8k * 4k)) = 0
(2 + -8k + (-8k + 32k2)) = 0

Combine like terms: -8k + -8k = -16k
(2 + -16k + 32k2) = 0

Solving
2 + -16k + 32k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -8k + 16k2) = 0

Factor a trinomial.
2((1 + -4k)(1 + -4k)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(1 + -4k)' equal to zero and attempt to solve: Simplifying 1 + -4k = 0 Solving 1 + -4k = 0 Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4k = 0 + -1 -4k = 0 + -1 Combine like terms: 0 + -1 = -1 -4k = -1 Divide each side by '-4'. k = 0.25 Simplifying k = 0.25

Subproblem 2

Set the factor '(1 + -4k)' equal to zero and attempt to solve: Simplifying 1 + -4k = 0 Solving 1 + -4k = 0 Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4k = 0 + -1 -4k = 0 + -1 Combine like terms: 0 + -1 = -1 -4k = -1 Divide each side by '-4'. k = 0.25 Simplifying k = 0.25

Solution

k = {0.25, 0.25}

See similar equations:

| -19-9x=10+19 | | .3(p+4)=2.7p | | (6x+8)(5x+5)=0 | | (2k+2)(k-8)=0 | | -113-11x=-2x+49 | | 3(x-5)=20 | | (n-3)(6n-6)=0 | | 7+5x=62 | | 6n(8n-4)=0 | | 6z+5(4z-8)=12 | | 9x+13=58 | | -6-(6-5p)= | | 3(6x+7)=0 | | 3x^2=7x+20 | | -9(p+11)=2p | | 14-1(2x+5)=-2x+9 | | 9x-4=5x+12 | | 15-6(x+2)=1 | | y=18x^2-6x-4 | | 3-3.7b=10.3+10 | | 6x^2-11x+c=0 | | 2+9+-5= | | 2(3-4x)+4=2-3(4-4x) | | 14x=7x+14 | | -43+4x=8x+13 | | 10n-22=78 | | -85+x=43-7x | | 4x+10=70-2x | | 34=3(t+6)-8 | | 4x=-3x+35 | | -17+9x=37+6x | | -6+6y=4y+16 |

Equations solver categories