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Simplifying
x2 + 5x + -97 = 5x + 3
Reorder the terms:
-97 + 5x + x2 = 5x + 3
Reorder the terms:
-97 + 5x + x2 = 3 + 5x
Add '-5x' to each side of the equation.
-97 + 5x + -5x + x2 = 3 + 5x + -5x
Combine like terms: 5x + -5x = 0
-97 + 0 + x2 = 3 + 5x + -5x
-97 + x2 = 3 + 5x + -5x
Combine like terms: 5x + -5x = 0
-97 + x2 = 3 + 0
-97 + x2 = 3
Solving
-97 + x2 = 3
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '97' to each side of the equation.
-97 + 97 + x2 = 3 + 97
Combine like terms: -97 + 97 = 0
0 + x2 = 3 + 97
x2 = 3 + 97
Combine like terms: 3 + 97 = 100
x2 = 100
Simplifying
x2 = 100
Take the square root of each side:
x = {-10, 10}
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