(x-9)2-(3x+2)2=0

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Solution for (x-9)2-(3x+2)2=0 equation:


Simplifying
(x + -9) * 2 + -1(3x + 2) * 2 = 0

Reorder the terms:
(-9 + x) * 2 + -1(3x + 2) * 2 = 0

Reorder the terms for easier multiplication:
2(-9 + x) + -1(3x + 2) * 2 = 0
(-9 * 2 + x * 2) + -1(3x + 2) * 2 = 0
(-18 + 2x) + -1(3x + 2) * 2 = 0

Reorder the terms:
-18 + 2x + -1(2 + 3x) * 2 = 0

Reorder the terms for easier multiplication:
-18 + 2x + -1 * 2(2 + 3x) = 0

Multiply -1 * 2
-18 + 2x + -2(2 + 3x) = 0
-18 + 2x + (2 * -2 + 3x * -2) = 0
-18 + 2x + (-4 + -6x) = 0

Reorder the terms:
-18 + -4 + 2x + -6x = 0

Combine like terms: -18 + -4 = -22
-22 + 2x + -6x = 0

Combine like terms: 2x + -6x = -4x
-22 + -4x = 0

Solving
-22 + -4x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '22' to each side of the equation.
-22 + 22 + -4x = 0 + 22

Combine like terms: -22 + 22 = 0
0 + -4x = 0 + 22
-4x = 0 + 22

Combine like terms: 0 + 22 = 22
-4x = 22

Divide each side by '-4'.
x = -5.5

Simplifying
x = -5.5

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