(3x-5)(6+2x)=

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Solution for (3x-5)(6+2x)= equation:


Simplifying
(3x + -5)(6 + 2x) = 0

Reorder the terms:
(-5 + 3x)(6 + 2x) = 0

Multiply (-5 + 3x) * (6 + 2x)
(-5(6 + 2x) + 3x * (6 + 2x)) = 0
((6 * -5 + 2x * -5) + 3x * (6 + 2x)) = 0
((-30 + -10x) + 3x * (6 + 2x)) = 0
(-30 + -10x + (6 * 3x + 2x * 3x)) = 0
(-30 + -10x + (18x + 6x2)) = 0

Combine like terms: -10x + 18x = 8x
(-30 + 8x + 6x2) = 0

Solving
-30 + 8x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-15 + 4x + 3x2) = 0

Factor a trinomial.
2((-3 + -1x)(5 + -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 '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667

Solution

x = {-3, 1.666666667}

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