(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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