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Simplifying
2x2 + 5 = x2 + 9
Reorder the terms:
5 + 2x2 = x2 + 9
Reorder the terms:
5 + 2x2 = 9 + x2
Solving
5 + 2x2 = 9 + x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
5 + 2x2 + -1x2 = 9 + x2 + -1x2
Combine like terms: 2x2 + -1x2 = 1x2
5 + 1x2 = 9 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
5 + 1x2 = 9 + 0
5 + 1x2 = 9
Add '-5' to each side of the equation.
5 + -5 + 1x2 = 9 + -5
Combine like terms: 5 + -5 = 0
0 + 1x2 = 9 + -5
1x2 = 9 + -5
Combine like terms: 9 + -5 = 4
1x2 = 4
Divide each side by '1'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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