(5x-10)(5x+10)=y

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Solution for (5x-10)(5x+10)=y equation:


Simplifying
(5x + -10)(5x + 10) = y

Reorder the terms:
(-10 + 5x)(5x + 10) = y

Reorder the terms:
(-10 + 5x)(10 + 5x) = y

Multiply (-10 + 5x) * (10 + 5x)
(-10(10 + 5x) + 5x * (10 + 5x)) = y
((10 * -10 + 5x * -10) + 5x * (10 + 5x)) = y
((-100 + -50x) + 5x * (10 + 5x)) = y
(-100 + -50x + (10 * 5x + 5x * 5x)) = y
(-100 + -50x + (50x + 25x2)) = y

Combine like terms: -50x + 50x = 0
(-100 + 0 + 25x2) = y
(-100 + 25x2) = y

Solving
-100 + 25x2 = y

Solving for variable 'x'.

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

Add '100' to each side of the equation.
-100 + 100 + 25x2 = 100 + y

Combine like terms: -100 + 100 = 0
0 + 25x2 = 100 + y
25x2 = 100 + y

Divide each side by '25'.
x2 = 4 + 0.04y

Simplifying
x2 = 4 + 0.04y

Reorder the terms:
-4 + x2 + -0.04y = 4 + 0.04y + -4 + -0.04y

Reorder the terms:
-4 + x2 + -0.04y = 4 + -4 + 0.04y + -0.04y

Combine like terms: 4 + -4 = 0
-4 + x2 + -0.04y = 0 + 0.04y + -0.04y
-4 + x2 + -0.04y = 0.04y + -0.04y

Combine like terms: 0.04y + -0.04y = 0.00
-4 + x2 + -0.04y = 0.00

The solution to this equation could not be determined.

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