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Simplifying
16x2 + 2x = 2x + 9
Reorder the terms:
2x + 16x2 = 2x + 9
Reorder the terms:
2x + 16x2 = 9 + 2x
Add '-2x' to each side of the equation.
2x + -2x + 16x2 = 9 + 2x + -2x
Combine like terms: 2x + -2x = 0
0 + 16x2 = 9 + 2x + -2x
16x2 = 9 + 2x + -2x
Combine like terms: 2x + -2x = 0
16x2 = 9 + 0
16x2 = 9
Solving
16x2 = 9
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '16'.
x2 = 0.5625
Simplifying
x2 = 0.5625
Take the square root of each side:
x = {-0.75, 0.75}
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