(3x-6)(2x+1)=

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Solution for (3x-6)(2x+1)= equation:


Simplifying
(3x + -6)(2x + 1) = 0

Reorder the terms:
(-6 + 3x)(2x + 1) = 0

Reorder the terms:
(-6 + 3x)(1 + 2x) = 0

Multiply (-6 + 3x) * (1 + 2x)
(-6(1 + 2x) + 3x * (1 + 2x)) = 0
((1 * -6 + 2x * -6) + 3x * (1 + 2x)) = 0
((-6 + -12x) + 3x * (1 + 2x)) = 0
(-6 + -12x + (1 * 3x + 2x * 3x)) = 0
(-6 + -12x + (3x + 6x2)) = 0

Combine like terms: -12x + 3x = -9x
(-6 + -9x + 6x2) = 0

Solving
-6 + -9x + 6x2 = 0

Solving for variable 'x'.

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

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

Ignore the factor 3.

Subproblem 1

Set the factor '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 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 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5

Subproblem 2

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

Solution

x = {-0.5, 2}

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