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Simplifying
4x2 + x = 9 + x
Reorder the terms:
x + 4x2 = 9 + x
Add '-1x' to each side of the equation.
x + -1x + 4x2 = 9 + x + -1x
Combine like terms: x + -1x = 0
0 + 4x2 = 9 + x + -1x
4x2 = 9 + x + -1x
Combine like terms: x + -1x = 0
4x2 = 9 + 0
4x2 = 9
Solving
4x2 = 9
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '4'.
x2 = 2.25
Simplifying
x2 = 2.25
Take the square root of each side:
x = {-1.5, 1.5}
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