2(10x-8)(5x+4)=

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Solution for 2(10x-8)(5x+4)= equation:


Simplifying
2(10x + -8)(5x + 4) = 0

Reorder the terms:
2(-8 + 10x)(5x + 4) = 0

Reorder the terms:
2(-8 + 10x)(4 + 5x) = 0

Multiply (-8 + 10x) * (4 + 5x)
2(-8(4 + 5x) + 10x * (4 + 5x)) = 0
2((4 * -8 + 5x * -8) + 10x * (4 + 5x)) = 0
2((-32 + -40x) + 10x * (4 + 5x)) = 0
2(-32 + -40x + (4 * 10x + 5x * 10x)) = 0
2(-32 + -40x + (40x + 50x2)) = 0

Combine like terms: -40x + 40x = 0
2(-32 + 0 + 50x2) = 0
2(-32 + 50x2) = 0
(-32 * 2 + 50x2 * 2) = 0
(-64 + 100x2) = 0

Solving
-64 + 100x2 = 0

Solving for variable 'x'.

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

Add '64' to each side of the equation.
-64 + 64 + 100x2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + 100x2 = 0 + 64
100x2 = 0 + 64

Combine like terms: 0 + 64 = 64
100x2 = 64

Divide each side by '100'.
x2 = 0.64

Simplifying
x2 = 0.64

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

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