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Simplifying
2x2 + 2x + 1 = 2x + 9
Reorder the terms:
1 + 2x + 2x2 = 2x + 9
Reorder the terms:
1 + 2x + 2x2 = 9 + 2x
Add '-2x' to each side of the equation.
1 + 2x + -2x + 2x2 = 9 + 2x + -2x
Combine like terms: 2x + -2x = 0
1 + 0 + 2x2 = 9 + 2x + -2x
1 + 2x2 = 9 + 2x + -2x
Combine like terms: 2x + -2x = 0
1 + 2x2 = 9 + 0
1 + 2x2 = 9
Solving
1 + 2x2 = 9
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + 2x2 = 9 + -1
Combine like terms: 1 + -1 = 0
0 + 2x2 = 9 + -1
2x2 = 9 + -1
Combine like terms: 9 + -1 = 8
2x2 = 8
Divide each side by '2'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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