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

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


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

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

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

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

Combine like terms: 10x + -10x = 0
0 = (-4 + 0 + 25x2)
0 = (-4 + 25x2)

Solving
0 = -4 + 25x2

Solving for variable 'x'.

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

Add '-25x2' to each side of the equation.
0 + -25x2 = -4 + 25x2 + -25x2
Remove the zero:
-25x2 = -4 + 25x2 + -25x2

Combine like terms: 25x2 + -25x2 = 0
-25x2 = -4 + 0
-25x2 = -4

Divide each side by '-25'.
x2 = 0.16

Simplifying
x2 = 0.16

Take the square root of each side:
x = {-0.4, 0.4}

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