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Simplifying
0 = (9x + 6)(9x + -6)
Reorder the terms:
0 = (6 + 9x)(9x + -6)
Reorder the terms:
0 = (6 + 9x)(-6 + 9x)
Multiply (6 + 9x) * (-6 + 9x)
0 = (6(-6 + 9x) + 9x * (-6 + 9x))
0 = ((-6 * 6 + 9x * 6) + 9x * (-6 + 9x))
0 = ((-36 + 54x) + 9x * (-6 + 9x))
0 = (-36 + 54x + (-6 * 9x + 9x * 9x))
0 = (-36 + 54x + (-54x + 81x2))
Combine like terms: 54x + -54x = 0
0 = (-36 + 0 + 81x2)
0 = (-36 + 81x2)
Solving
0 = -36 + 81x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-81x2' to each side of the equation.
0 + -81x2 = -36 + 81x2 + -81x2
Remove the zero:
-81x2 = -36 + 81x2 + -81x2
Combine like terms: 81x2 + -81x2 = 0
-81x2 = -36 + 0
-81x2 = -36
Divide each side by '-81'.
x2 = 0.4444444444
Simplifying
x2 = 0.4444444444
Take the square root of each side:
x = {-0.666666667, 0.666666667}
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