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Simplifying
(5x + 9)(5x + -9) = 0
Reorder the terms:
(9 + 5x)(5x + -9) = 0
Reorder the terms:
(9 + 5x)(-9 + 5x) = 0
Multiply (9 + 5x) * (-9 + 5x)
(9(-9 + 5x) + 5x * (-9 + 5x)) = 0
((-9 * 9 + 5x * 9) + 5x * (-9 + 5x)) = 0
((-81 + 45x) + 5x * (-9 + 5x)) = 0
(-81 + 45x + (-9 * 5x + 5x * 5x)) = 0
(-81 + 45x + (-45x + 25x2)) = 0
Combine like terms: 45x + -45x = 0
(-81 + 0 + 25x2) = 0
(-81 + 25x2) = 0
Solving
-81 + 25x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '81' to each side of the equation.
-81 + 81 + 25x2 = 0 + 81
Combine like terms: -81 + 81 = 0
0 + 25x2 = 0 + 81
25x2 = 0 + 81
Combine like terms: 0 + 81 = 81
25x2 = 81
Divide each side by '25'.
x2 = 3.24
Simplifying
x2 = 3.24
Take the square root of each side:
x = {-1.8, 1.8}
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