(5x+4)(5x-8)=0

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Solution for (5x+4)(5x-8)=0 equation:


Simplifying
(5x + 4)(5x + -8) = 0

Reorder the terms:
(4 + 5x)(5x + -8) = 0

Reorder the terms:
(4 + 5x)(-8 + 5x) = 0

Multiply (4 + 5x) * (-8 + 5x)
(4(-8 + 5x) + 5x * (-8 + 5x)) = 0
((-8 * 4 + 5x * 4) + 5x * (-8 + 5x)) = 0
((-32 + 20x) + 5x * (-8 + 5x)) = 0
(-32 + 20x + (-8 * 5x + 5x * 5x)) = 0
(-32 + 20x + (-40x + 25x2)) = 0

Combine like terms: 20x + -40x = -20x
(-32 + -20x + 25x2) = 0

Solving
-32 + -20x + 25x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -5x)(8 + -5x) = 0

Subproblem 1

Set the factor '(-4 + -5x)' equal to zero and attempt to solve: Simplifying -4 + -5x = 0 Solving -4 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = 0 + 4 -5x = 0 + 4 Combine like terms: 0 + 4 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8

Subproblem 2

Set the factor '(8 + -5x)' equal to zero and attempt to solve: Simplifying 8 + -5x = 0 Solving 8 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 0 + -8 -5x = 0 + -8 Combine like terms: 0 + -8 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6

Solution

x = {-0.8, 1.6}

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