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Simplifying
9 = (5 + x)(5 + -1x)
Multiply (5 + x) * (5 + -1x)
9 = (5(5 + -1x) + x(5 + -1x))
9 = ((5 * 5 + -1x * 5) + x(5 + -1x))
9 = ((25 + -5x) + x(5 + -1x))
9 = (25 + -5x + (5 * x + -1x * x))
9 = (25 + -5x + (5x + -1x2))
Combine like terms: -5x + 5x = 0
9 = (25 + 0 + -1x2)
9 = (25 + -1x2)
Solving
9 = 25 + -1x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'x2' to each side of the equation.
9 + x2 = 25 + -1x2 + x2
Combine like terms: -1x2 + x2 = 0
9 + x2 = 25 + 0
9 + x2 = 25
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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