(8x-5)(64x+40x+25)=0

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Solution for (8x-5)(64x+40x+25)=0 equation:


Simplifying
(8x + -5)(64x + 40x + 25) = 0

Reorder the terms:
(-5 + 8x)(64x + 40x + 25) = 0

Reorder the terms:
(-5 + 8x)(25 + 64x + 40x) = 0

Combine like terms: 64x + 40x = 104x
(-5 + 8x)(25 + 104x) = 0

Multiply (-5 + 8x) * (25 + 104x)
(-5(25 + 104x) + 8x * (25 + 104x)) = 0
((25 * -5 + 104x * -5) + 8x * (25 + 104x)) = 0
((-125 + -520x) + 8x * (25 + 104x)) = 0
(-125 + -520x + (25 * 8x + 104x * 8x)) = 0
(-125 + -520x + (200x + 832x2)) = 0

Combine like terms: -520x + 200x = -320x
(-125 + -320x + 832x2) = 0

Solving
-125 + -320x + 832x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-25 + -104x)(5 + -8x) = 0

Subproblem 1

Set the factor '(-25 + -104x)' equal to zero and attempt to solve: Simplifying -25 + -104x = 0 Solving -25 + -104x = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -104x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -104x = 0 + 25 -104x = 0 + 25 Combine like terms: 0 + 25 = 25 -104x = 25 Divide each side by '-104'. x = -0.2403846154 Simplifying x = -0.2403846154

Subproblem 2

Set the factor '(5 + -8x)' equal to zero and attempt to solve: Simplifying 5 + -8x = 0 Solving 5 + -8x = 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 + -8x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = 0 + -5 -8x = 0 + -5 Combine like terms: 0 + -5 = -5 -8x = -5 Divide each side by '-8'. x = 0.625 Simplifying x = 0.625

Solution

x = {-0.2403846154, 0.625}

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