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Simplifying
x2 + -4x + 9 = 25 + -4x
Reorder the terms:
9 + -4x + x2 = 25 + -4x
Add '4x' to each side of the equation.
9 + -4x + 4x + x2 = 25 + -4x + 4x
Combine like terms: -4x + 4x = 0
9 + 0 + x2 = 25 + -4x + 4x
9 + x2 = 25 + -4x + 4x
Combine like terms: -4x + 4x = 0
9 + x2 = 25 + 0
9 + x2 = 25
Solving
9 + x2 = 25
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9' to each side of the equation.
9 + -9 + x2 = 25 + -9
Combine like terms: 9 + -9 = 0
0 + x2 = 25 + -9
x2 = 25 + -9
Combine like terms: 25 + -9 = 16
x2 = 16
Simplifying
x2 = 16
Take the square root of each side:
x = {-4, 4}
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