(6x+2)(4k-3)=0

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Solution for (6x+2)(4k-3)=0 equation:


Simplifying
(6x + 2)(4k + -3) = 0

Reorder the terms:
(2 + 6x)(4k + -3) = 0

Reorder the terms:
(2 + 6x)(-3 + 4k) = 0

Multiply (2 + 6x) * (-3 + 4k)
(2(-3 + 4k) + 6x * (-3 + 4k)) = 0
((-3 * 2 + 4k * 2) + 6x * (-3 + 4k)) = 0
((-6 + 8k) + 6x * (-3 + 4k)) = 0
(-6 + 8k + (-3 * 6x + 4k * 6x)) = 0

Reorder the terms:
(-6 + 8k + (24kx + -18x)) = 0
(-6 + 8k + (24kx + -18x)) = 0
(-6 + 8k + 24kx + -18x) = 0

Solving
-6 + 8k + 24kx + -18x = 0

Solving for variable 'k'.

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

Add '6' to each side of the equation.
-6 + 8k + 24kx + 6 + -18x = 0 + 6

Reorder the terms:
-6 + 6 + 8k + 24kx + -18x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 8k + 24kx + -18x = 0 + 6
8k + 24kx + -18x = 0 + 6

Combine like terms: 0 + 6 = 6
8k + 24kx + -18x = 6

Add '18x' to each side of the equation.
8k + 24kx + -18x + 18x = 6 + 18x

Combine like terms: -18x + 18x = 0
8k + 24kx + 0 = 6 + 18x
8k + 24kx = 6 + 18x

Reorder the terms:
-6 + 8k + 24kx + -18x = 6 + 18x + -6 + -18x

Reorder the terms:
-6 + 8k + 24kx + -18x = 6 + -6 + 18x + -18x

Combine like terms: 6 + -6 = 0
-6 + 8k + 24kx + -18x = 0 + 18x + -18x
-6 + 8k + 24kx + -18x = 18x + -18x

Combine like terms: 18x + -18x = 0
-6 + 8k + 24kx + -18x = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + 4k + 12kx + -9x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-3 + 4k + 12kx + -9x)' equal to zero and attempt to solve: Simplifying -3 + 4k + 12kx + -9x = 0 Solving -3 + 4k + 12kx + -9x = 0 Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 4k + 12kx + 3 + -9x = 0 + 3 Reorder the terms: -3 + 3 + 4k + 12kx + -9x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4k + 12kx + -9x = 0 + 3 4k + 12kx + -9x = 0 + 3 Combine like terms: 0 + 3 = 3 4k + 12kx + -9x = 3 Add '9x' to each side of the equation. 4k + 12kx + -9x + 9x = 3 + 9x Combine like terms: -9x + 9x = 0 4k + 12kx + 0 = 3 + 9x 4k + 12kx = 3 + 9x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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