(9x-8)*(9x+8)=9

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Solution for (9x-8)*(9x+8)=9 equation:


Simplifying
(9x + -8)(9x + 8) = 9

Reorder the terms:
(-8 + 9x)(9x + 8) = 9

Reorder the terms:
(-8 + 9x)(8 + 9x) = 9

Multiply (-8 + 9x) * (8 + 9x)
(-8(8 + 9x) + 9x * (8 + 9x)) = 9
((8 * -8 + 9x * -8) + 9x * (8 + 9x)) = 9
((-64 + -72x) + 9x * (8 + 9x)) = 9
(-64 + -72x + (8 * 9x + 9x * 9x)) = 9
(-64 + -72x + (72x + 81x2)) = 9

Combine like terms: -72x + 72x = 0
(-64 + 0 + 81x2) = 9
(-64 + 81x2) = 9

Solving
-64 + 81x2 = 9

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '64' to each side of the equation.
-64 + 64 + 81x2 = 9 + 64

Combine like terms: -64 + 64 = 0
0 + 81x2 = 9 + 64
81x2 = 9 + 64

Combine like terms: 9 + 64 = 73
81x2 = 73

Divide each side by '81'.
x2 = 0.9012345679

Simplifying
x2 = 0.9012345679

Take the square root of each side:
x = {-0.949333749, 0.949333749}

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