(x+3)2-(x-2)2=55

Solution for (x+3)2-(x-2)2=55 equation:

Simplifying
(x + 3) * 2 + -1(x + -2) * 2 = 55

Reorder the terms:
(3 + x) * 2 + -1(x + -2) * 2 = 55

Reorder the terms for easier multiplication:
2(3 + x) + -1(x + -2) * 2 = 55
(3 * 2 + x * 2) + -1(x + -2) * 2 = 55
(6 + 2x) + -1(x + -2) * 2 = 55

Reorder the terms:
6 + 2x + -1(-2 + x) * 2 = 55

Reorder the terms for easier multiplication:
6 + 2x + -1 * 2(-2 + x) = 55

Multiply -1 * 2
6 + 2x + -2(-2 + x) = 55
6 + 2x + (-2 * -2 + x * -2) = 55
6 + 2x + (4 + -2x) = 55

Reorder the terms:
6 + 4 + 2x + -2x = 55

Combine like terms: 6 + 4 = 10
10 + 2x + -2x = 55

Combine like terms: 2x + -2x = 0
10 + 0 = 55
10 = 55

Solving
10 = 55

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.