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Simplifying
2x2 + 7 = x2 + 18
Reorder the terms:
7 + 2x2 = x2 + 18
Reorder the terms:
7 + 2x2 = 18 + x2
Solving
7 + 2x2 = 18 + 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.
7 + 2x2 + -1x2 = 18 + x2 + -1x2
Combine like terms: 2x2 + -1x2 = 1x2
7 + 1x2 = 18 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
7 + 1x2 = 18 + 0
7 + 1x2 = 18
Add '-7' to each side of the equation.
7 + -7 + 1x2 = 18 + -7
Combine like terms: 7 + -7 = 0
0 + 1x2 = 18 + -7
1x2 = 18 + -7
Combine like terms: 18 + -7 = 11
1x2 = 11
Divide each side by '1'.
x2 = 11
Simplifying
x2 = 11
Take the square root of each side:
x = {-3.31662479, 3.31662479}
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