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Simplifying
(9x + 7)(9x + -7) = 0
Reorder the terms:
(7 + 9x)(9x + -7) = 0
Reorder the terms:
(7 + 9x)(-7 + 9x) = 0
Multiply (7 + 9x) * (-7 + 9x)
(7(-7 + 9x) + 9x * (-7 + 9x)) = 0
((-7 * 7 + 9x * 7) + 9x * (-7 + 9x)) = 0
((-49 + 63x) + 9x * (-7 + 9x)) = 0
(-49 + 63x + (-7 * 9x + 9x * 9x)) = 0
(-49 + 63x + (-63x + 81x2)) = 0
Combine like terms: 63x + -63x = 0
(-49 + 0 + 81x2) = 0
(-49 + 81x2) = 0
Solving
-49 + 81x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '49' to each side of the equation.
-49 + 49 + 81x2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + 81x2 = 0 + 49
81x2 = 0 + 49
Combine like terms: 0 + 49 = 49
81x2 = 49
Divide each side by '81'.
x2 = 0.6049382716
Simplifying
x2 = 0.6049382716
Take the square root of each side:
x = {-0.777777778, 0.777777778}
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