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Simplifying
(7x + 9)(7x + -9) = 0
Reorder the terms:
(9 + 7x)(7x + -9) = 0
Reorder the terms:
(9 + 7x)(-9 + 7x) = 0
Multiply (9 + 7x) * (-9 + 7x)
(9(-9 + 7x) + 7x * (-9 + 7x)) = 0
((-9 * 9 + 7x * 9) + 7x * (-9 + 7x)) = 0
((-81 + 63x) + 7x * (-9 + 7x)) = 0
(-81 + 63x + (-9 * 7x + 7x * 7x)) = 0
(-81 + 63x + (-63x + 49x2)) = 0
Combine like terms: 63x + -63x = 0
(-81 + 0 + 49x2) = 0
(-81 + 49x2) = 0
Solving
-81 + 49x2 = 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 + 49x2 = 0 + 81
Combine like terms: -81 + 81 = 0
0 + 49x2 = 0 + 81
49x2 = 0 + 81
Combine like terms: 0 + 81 = 81
49x2 = 81
Divide each side by '49'.
x2 = 1.653061224
Simplifying
x2 = 1.653061224
Take the square root of each side:
x = {-1.285714286, 1.285714286}
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