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Simplifying
(7x + -45)(7x + 45) = 0
Reorder the terms:
(-45 + 7x)(7x + 45) = 0
Reorder the terms:
(-45 + 7x)(45 + 7x) = 0
Multiply (-45 + 7x) * (45 + 7x)
(-45(45 + 7x) + 7x * (45 + 7x)) = 0
((45 * -45 + 7x * -45) + 7x * (45 + 7x)) = 0
((-2025 + -315x) + 7x * (45 + 7x)) = 0
(-2025 + -315x + (45 * 7x + 7x * 7x)) = 0
(-2025 + -315x + (315x + 49x2)) = 0
Combine like terms: -315x + 315x = 0
(-2025 + 0 + 49x2) = 0
(-2025 + 49x2) = 0
Solving
-2025 + 49x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2025' to each side of the equation.
-2025 + 2025 + 49x2 = 0 + 2025
Combine like terms: -2025 + 2025 = 0
0 + 49x2 = 0 + 2025
49x2 = 0 + 2025
Combine like terms: 0 + 2025 = 2025
49x2 = 2025
Divide each side by '49'.
x2 = 41.32653061
Simplifying
x2 = 41.32653061
Take the square root of each side:
x = {-6.428571428, 6.428571428}
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