2(5x-4)(5x+4)=

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Solution for 2(5x-4)(5x+4)= equation:


Simplifying
2(5x + -4)(5x + 4) = 0

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

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

Multiply (-4 + 5x) * (4 + 5x)
2(-4(4 + 5x) + 5x * (4 + 5x)) = 0
2((4 * -4 + 5x * -4) + 5x * (4 + 5x)) = 0
2((-16 + -20x) + 5x * (4 + 5x)) = 0
2(-16 + -20x + (4 * 5x + 5x * 5x)) = 0
2(-16 + -20x + (20x + 25x2)) = 0

Combine like terms: -20x + 20x = 0
2(-16 + 0 + 25x2) = 0
2(-16 + 25x2) = 0
(-16 * 2 + 25x2 * 2) = 0
(-32 + 50x2) = 0

Solving
-32 + 50x2 = 0

Solving for variable 'x'.

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

Add '32' to each side of the equation.
-32 + 32 + 50x2 = 0 + 32

Combine like terms: -32 + 32 = 0
0 + 50x2 = 0 + 32
50x2 = 0 + 32

Combine like terms: 0 + 32 = 32
50x2 = 32

Divide each side by '50'.
x2 = 0.64

Simplifying
x2 = 0.64

Take the square root of each side:
x = {-0.8, 0.8}

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