(5x-3)*(-2x-5)=0

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Solution for (5x-3)*(-2x-5)=0 equation:


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

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

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

Multiply (-3 + 5x) * (-5 + -2x)
(-3(-5 + -2x) + 5x * (-5 + -2x)) = 0
((-5 * -3 + -2x * -3) + 5x * (-5 + -2x)) = 0
((15 + 6x) + 5x * (-5 + -2x)) = 0
(15 + 6x + (-5 * 5x + -2x * 5x)) = 0
(15 + 6x + (-25x + -10x2)) = 0

Combine like terms: 6x + -25x = -19x
(15 + -19x + -10x2) = 0

Solving
15 + -19x + -10x2 = 0

Solving for variable 'x'.

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

Subproblem 1

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

Subproblem 2

Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 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 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5

Solution

x = {0.6, -2.5}

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