(x+3)(-x+3)=17

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Solution for (x+3)(-x+3)=17 equation:


Simplifying
(x + 3)(-1x + 3) = 17

Reorder the terms:
(3 + x)(-1x + 3) = 17

Reorder the terms:
(3 + x)(3 + -1x) = 17

Multiply (3 + x) * (3 + -1x)
(3(3 + -1x) + x(3 + -1x)) = 17
((3 * 3 + -1x * 3) + x(3 + -1x)) = 17
((9 + -3x) + x(3 + -1x)) = 17
(9 + -3x + (3 * x + -1x * x)) = 17
(9 + -3x + (3x + -1x2)) = 17

Combine like terms: -3x + 3x = 0
(9 + 0 + -1x2) = 17
(9 + -1x2) = 17

Solving
9 + -1x2 = 17

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 + -1x2 = 17 + -9

Combine like terms: 9 + -9 = 0
0 + -1x2 = 17 + -9
-1x2 = 17 + -9

Combine like terms: 17 + -9 = 8
-1x2 = 8

Divide each side by '-1'.
x2 = -8

Simplifying
x2 = -8

Reorder the terms:
8 + x2 = -8 + 8

Combine like terms: -8 + 8 = 0
8 + x2 = 0

The solution to this equation could not be determined.

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