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Simplifying
(5x + 3)(5x + -3) = 25
Reorder the terms:
(3 + 5x)(5x + -3) = 25
Reorder the terms:
(3 + 5x)(-3 + 5x) = 25
Multiply (3 + 5x) * (-3 + 5x)
(3(-3 + 5x) + 5x * (-3 + 5x)) = 25
((-3 * 3 + 5x * 3) + 5x * (-3 + 5x)) = 25
((-9 + 15x) + 5x * (-3 + 5x)) = 25
(-9 + 15x + (-3 * 5x + 5x * 5x)) = 25
(-9 + 15x + (-15x + 25x2)) = 25
Combine like terms: 15x + -15x = 0
(-9 + 0 + 25x2) = 25
(-9 + 25x2) = 25
Solving
-9 + 25x2 = 25
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + 25x2 = 25 + 9
Combine like terms: -9 + 9 = 0
0 + 25x2 = 25 + 9
25x2 = 25 + 9
Combine like terms: 25 + 9 = 34
25x2 = 34
Divide each side by '25'.
x2 = 1.36
Simplifying
x2 = 1.36
Take the square root of each side:
x = {-1.166190379, 1.166190379}
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