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Simplifying
9x2 + 9 = 16x2
Reorder the terms:
9 + 9x2 = 16x2
Solving
9 + 9x2 = 16x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-16x2' to each side of the equation.
9 + 9x2 + -16x2 = 16x2 + -16x2
Combine like terms: 9x2 + -16x2 = -7x2
9 + -7x2 = 16x2 + -16x2
Combine like terms: 16x2 + -16x2 = 0
9 + -7x2 = 0
Add '-9' to each side of the equation.
9 + -9 + -7x2 = 0 + -9
Combine like terms: 9 + -9 = 0
0 + -7x2 = 0 + -9
-7x2 = 0 + -9
Combine like terms: 0 + -9 = -9
-7x2 = -9
Divide each side by '-7'.
x2 = 1.285714286
Simplifying
x2 = 1.285714286
Take the square root of each side:
x = {-1.133893419, 1.133893419}
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