(-5+-1x)(3+-1x)=

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Solution for (-5+-1x)(3+-1x)= equation:


Simplifying
(-5 + -1x)(3 + -1x) = 0

Multiply (-5 + -1x) * (3 + -1x)
(-5(3 + -1x) + -1x * (3 + -1x)) = 0
((3 * -5 + -1x * -5) + -1x * (3 + -1x)) = 0
((-15 + 5x) + -1x * (3 + -1x)) = 0
(-15 + 5x + (3 * -1x + -1x * -1x)) = 0
(-15 + 5x + (-3x + 1x2)) = 0

Combine like terms: 5x + -3x = 2x
(-15 + 2x + 1x2) = 0

Solving
-15 + 2x + 1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -1x)(3 + -1x) = 0

Subproblem 1

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

Subproblem 2

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

Solution

x = {-5, 3}

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