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

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Solution for (-x-1)(3-5x)=0 equation:


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

Reorder the terms:
(-1 + -1x)(3 + -5x) = 0

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

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

Solving
-3 + 2x + 5x2 = 0

Solving for variable 'x'.

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

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 '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 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 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6

Solution

x = {-1, 0.6}

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