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Simplifying
5x2 + 30 = x2 + 55
Reorder the terms:
30 + 5x2 = x2 + 55
Reorder the terms:
30 + 5x2 = 55 + x2
Solving
30 + 5x2 = 55 + 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.
30 + 5x2 + -1x2 = 55 + x2 + -1x2
Combine like terms: 5x2 + -1x2 = 4x2
30 + 4x2 = 55 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
30 + 4x2 = 55 + 0
30 + 4x2 = 55
Add '-30' to each side of the equation.
30 + -30 + 4x2 = 55 + -30
Combine like terms: 30 + -30 = 0
0 + 4x2 = 55 + -30
4x2 = 55 + -30
Combine like terms: 55 + -30 = 25
4x2 = 25
Divide each side by '4'.
x2 = 6.25
Simplifying
x2 = 6.25
Take the square root of each side:
x = {-2.5, 2.5}
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