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

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


Simplifying
(5x + -2)(3x + 5) = 0
Reorder the terms:
(-2 + 5x)(3x + 5) = 0
Reorder the terms:
(-2 + 5x)(5 + 3x) = 0
Multiply (-2 + 5x) * (5 + 3x)
(-2(5 + 3x) + 5x * (5 + 3x)) = 0
((5 * -2 + 3x * -2) + 5x * (5 + 3x)) = 0
((-10 + -6x) + 5x * (5 + 3x)) = 0
(-10 + -6x + (5 * 5x + 3x * 5x)) = 0
(-10 + -6x + (25x + 15x2)) = 0
Combine like terms: -6x + 25x = 19x
(-10 + 19x + 15x2) = 0
Solving
-10 + 19x + 15x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(-5 + -3x)(2 + -5x) = 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 '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4

Solution

x = {-1.666666667, 0.4}

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