2x(3x+8)=6

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Solution for 2x(3x+8)=6 equation:


Simplifying
2x(3x + 8) = 6

Reorder the terms:
2x(8 + 3x) = 6
(8 * 2x + 3x * 2x) = 6
(16x + 6x2) = 6

Solving
16x + 6x2 = 6

Solving for variable 'x'.

Reorder the terms:
-6 + 16x + 6x2 = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + 16x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + 8x + 3x2) = 0

Factor a trinomial.
2((-3 + -1x)(1 + -3x)) = 0

Ignore the factor 2.

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 '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333

Solution

x = {-3, 0.3333333333}

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