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Simplifying
(5x + 2)(5x + -2) = 1221
Reorder the terms:
(2 + 5x)(5x + -2) = 1221
Reorder the terms:
(2 + 5x)(-2 + 5x) = 1221
Multiply (2 + 5x) * (-2 + 5x)
(2(-2 + 5x) + 5x * (-2 + 5x)) = 1221
((-2 * 2 + 5x * 2) + 5x * (-2 + 5x)) = 1221
((-4 + 10x) + 5x * (-2 + 5x)) = 1221
(-4 + 10x + (-2 * 5x + 5x * 5x)) = 1221
(-4 + 10x + (-10x + 25x2)) = 1221
Combine like terms: 10x + -10x = 0
(-4 + 0 + 25x2) = 1221
(-4 + 25x2) = 1221
Solving
-4 + 25x2 = 1221
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 25x2 = 1221 + 4
Combine like terms: -4 + 4 = 0
0 + 25x2 = 1221 + 4
25x2 = 1221 + 4
Combine like terms: 1221 + 4 = 1225
25x2 = 1225
Divide each side by '25'.
x2 = 49
Simplifying
x2 = 49
Take the square root of each side:
x = {-7, 7}
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