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Simplifying
5x2 + 7 = 2x2 + 16
Reorder the terms:
7 + 5x2 = 2x2 + 16
Reorder the terms:
7 + 5x2 = 16 + 2x2
Solving
7 + 5x2 = 16 + 2x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x2' to each side of the equation.
7 + 5x2 + -2x2 = 16 + 2x2 + -2x2
Combine like terms: 5x2 + -2x2 = 3x2
7 + 3x2 = 16 + 2x2 + -2x2
Combine like terms: 2x2 + -2x2 = 0
7 + 3x2 = 16 + 0
7 + 3x2 = 16
Add '-7' to each side of the equation.
7 + -7 + 3x2 = 16 + -7
Combine like terms: 7 + -7 = 0
0 + 3x2 = 16 + -7
3x2 = 16 + -7
Combine like terms: 16 + -7 = 9
3x2 = 9
Divide each side by '3'.
x2 = 3
Simplifying
x2 = 3
Take the square root of each side:
x = {-1.732050808, 1.732050808}
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