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Simplifying
36 = (8 + x)(8 + -1x)
Multiply (8 + x) * (8 + -1x)
36 = (8(8 + -1x) + x(8 + -1x))
36 = ((8 * 8 + -1x * 8) + x(8 + -1x))
36 = ((64 + -8x) + x(8 + -1x))
36 = (64 + -8x + (8 * x + -1x * x))
36 = (64 + -8x + (8x + -1x2))
Combine like terms: -8x + 8x = 0
36 = (64 + 0 + -1x2)
36 = (64 + -1x2)
Solving
36 = 64 + -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.
36 + x2 = 64 + -1x2 + x2
Combine like terms: -1x2 + x2 = 0
36 + x2 = 64 + 0
36 + x2 = 64
Add '-36' to each side of the equation.
36 + -36 + x2 = 64 + -36
Combine like terms: 36 + -36 = 0
0 + x2 = 64 + -36
x2 = 64 + -36
Combine like terms: 64 + -36 = 28
x2 = 28
Simplifying
x2 = 28
Take the square root of each side:
x = {-5.291502622, 5.291502622}
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