(-6+-1x)(5+-1x)=

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Solution for (-6+-1x)(5+-1x)= equation:


Simplifying
(-6 + -1x)(5 + -1x) = 0

Multiply (-6 + -1x) * (5 + -1x)
(-6(5 + -1x) + -1x * (5 + -1x)) = 0
((5 * -6 + -1x * -6) + -1x * (5 + -1x)) = 0
((-30 + 6x) + -1x * (5 + -1x)) = 0
(-30 + 6x + (5 * -1x + -1x * -1x)) = 0
(-30 + 6x + (-5x + 1x2)) = 0

Combine like terms: 6x + -5x = 1x
(-30 + 1x + 1x2) = 0

Solving
-30 + 1x + 1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-6 + -1x)(5 + -1x) = 0

Subproblem 1

Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6

Subproblem 2

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {-6, 5}

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