(-2x+1)(-3x-5)=

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Solution for (-2x+1)(-3x-5)= equation:


Simplifying
(-2x + 1)(-3x + -5) = 0

Reorder the terms:
(1 + -2x)(-3x + -5) = 0

Reorder the terms:
(1 + -2x)(-5 + -3x) = 0

Multiply (1 + -2x) * (-5 + -3x)
(1(-5 + -3x) + -2x * (-5 + -3x)) = 0
((-5 * 1 + -3x * 1) + -2x * (-5 + -3x)) = 0
((-5 + -3x) + -2x * (-5 + -3x)) = 0
(-5 + -3x + (-5 * -2x + -3x * -2x)) = 0
(-5 + -3x + (10x + 6x2)) = 0

Combine like terms: -3x + 10x = 7x
(-5 + 7x + 6x2) = 0

Solving
-5 + 7x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -3x)(1 + -2x) = 0

Subproblem 1

Set the factor '(-5 + -3x)' equal to zero and attempt to solve: Simplifying -5 + -3x = 0 Solving -5 + -3x = 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 + -3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 0 + 5 -3x = 0 + 5 Combine like terms: 0 + 5 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667

Subproblem 2

Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5

Solution

x = {-1.666666667, 0.5}

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