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Simplifying
x2 + 43 + -90 = 0
Reorder the terms:
43 + -90 + x2 = 0
Combine like terms: 43 + -90 = -47
-47 + x2 = 0
Solving
-47 + x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '47' to each side of the equation.
-47 + 47 + x2 = 0 + 47
Combine like terms: -47 + 47 = 0
0 + x2 = 0 + 47
x2 = 0 + 47
Combine like terms: 0 + 47 = 47
x2 = 47
Simplifying
x2 = 47
Take the square root of each side:
x = {-6.8556546, 6.8556546}
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