(-3x-6)(x-1)=0

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Solution for (-3x-6)(x-1)=0 equation:


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

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

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

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

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

Solving
6 + -3x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(2 + -1x + -1x2) = 0

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

Ignore the factor 3.

Subproblem 1

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

Subproblem 2

Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Solution

x = {1, -2}

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