(5x-2)(25x^2+10x+4)=0

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Solution for (5x-2)(25x^2+10x+4)=0 equation:


Simplifying
(5x + -2)(25x2 + 10x + 4) = 0

Reorder the terms:
(-2 + 5x)(25x2 + 10x + 4) = 0

Reorder the terms:
(-2 + 5x)(4 + 10x + 25x2) = 0

Multiply (-2 + 5x) * (4 + 10x + 25x2)
(-2(4 + 10x + 25x2) + 5x * (4 + 10x + 25x2)) = 0
((4 * -2 + 10x * -2 + 25x2 * -2) + 5x * (4 + 10x + 25x2)) = 0
((-8 + -20x + -50x2) + 5x * (4 + 10x + 25x2)) = 0
(-8 + -20x + -50x2 + (4 * 5x + 10x * 5x + 25x2 * 5x)) = 0
(-8 + -20x + -50x2 + (20x + 50x2 + 125x3)) = 0

Reorder the terms:
(-8 + -20x + 20x + -50x2 + 50x2 + 125x3) = 0

Combine like terms: -20x + 20x = 0
(-8 + 0 + -50x2 + 50x2 + 125x3) = 0
(-8 + -50x2 + 50x2 + 125x3) = 0

Combine like terms: -50x2 + 50x2 = 0
(-8 + 0 + 125x3) = 0
(-8 + 125x3) = 0

Solving
-8 + 125x3 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + 125x3 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 125x3 = 0 + 8
125x3 = 0 + 8

Combine like terms: 0 + 8 = 8
125x3 = 8

Divide each side by '125'.
x3 = 0.064

Simplifying
x3 = 0.064

Reorder the terms:
-0.064 + x3 = 0.064 + -0.064

Combine like terms: 0.064 + -0.064 = 0.000
-0.064 + x3 = 0.000

The solution to this equation could not be determined.

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