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

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


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

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

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

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

Combine like terms: 10x + -15x = -5x
(6 + -5x + -25x2) = 0

Solving
6 + -5x + -25x2 = 0

Solving for variable 'x'.

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

Subproblem 1

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

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 = {0.4, -0.6}

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