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Simplifying
50x2 + 9 = x2 + 90
Reorder the terms:
9 + 50x2 = x2 + 90
Reorder the terms:
9 + 50x2 = 90 + x2
Solving
9 + 50x2 = 90 + 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.
9 + 50x2 + -1x2 = 90 + x2 + -1x2
Combine like terms: 50x2 + -1x2 = 49x2
9 + 49x2 = 90 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
9 + 49x2 = 90 + 0
9 + 49x2 = 90
Add '-9' to each side of the equation.
9 + -9 + 49x2 = 90 + -9
Combine like terms: 9 + -9 = 0
0 + 49x2 = 90 + -9
49x2 = 90 + -9
Combine like terms: 90 + -9 = 81
49x2 = 81
Divide each side by '49'.
x2 = 1.653061224
Simplifying
x2 = 1.653061224
Take the square root of each side:
x = {-1.285714286, 1.285714286}
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