(-3+-1x)(7+-1x)=0

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Solution for (-3+-1x)(7+-1x)=0 equation:


Simplifying
(-3 + -1x)(7 + -1x) = 0

Multiply (-3 + -1x) * (7 + -1x)
(-3(7 + -1x) + -1x * (7 + -1x)) = 0
((7 * -3 + -1x * -3) + -1x * (7 + -1x)) = 0
((-21 + 3x) + -1x * (7 + -1x)) = 0
(-21 + 3x + (7 * -1x + -1x * -1x)) = 0
(-21 + 3x + (-7x + 1x2)) = 0

Combine like terms: 3x + -7x = -4x
(-21 + -4x + 1x2) = 0

Solving
-21 + -4x + 1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -1x)(7 + -1x) = 0

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 '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7

Solution

x = {-3, 7}

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