(x+2)(x+2)-(x-3)(x-3)=35

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Solution for (x+2)(x+2)-(x-3)(x-3)=35 equation: 


Simplifying
(x + 2)(x + 2) + -1(x + -3)(x + -3) = 35

Reorder the terms:
(2 + x)(x + 2) + -1(x + -3)(x + -3) = 35

Reorder the terms:
(2 + x)(2 + x) + -1(x + -3)(x + -3) = 35

Multiply (2 + x) * (2 + x)
(2(2 + x) + x(2 + x)) + -1(x + -3)(x + -3) = 35
((2 * 2 + x * 2) + x(2 + x)) + -1(x + -3)(x + -3) = 35
((4 + 2x) + x(2 + x)) + -1(x + -3)(x + -3) = 35
(4 + 2x + (2 * x + x * x)) + -1(x + -3)(x + -3) = 35
(4 + 2x + (2x + x2)) + -1(x + -3)(x + -3) = 35

Combine like terms: 2x + 2x = 4x
(4 + 4x + x2) + -1(x + -3)(x + -3) = 35

Reorder the terms:
4 + 4x + x2 + -1(-3 + x)(x + -3) = 35

Reorder the terms:
4 + 4x + x2 + -1(-3 + x)(-3 + x) = 35

Multiply (-3 + x) * (-3 + x)
4 + 4x + x2 + -1(-3(-3 + x) + x(-3 + x)) = 35
4 + 4x + x2 + -1((-3 * -3 + x * -3) + x(-3 + x)) = 35
4 + 4x + x2 + -1((9 + -3x) + x(-3 + x)) = 35
4 + 4x + x2 + -1(9 + -3x + (-3 * x + x * x)) = 35
4 + 4x + x2 + -1(9 + -3x + (-3x + x2)) = 35

Combine like terms: -3x + -3x = -6x
4 + 4x + x2 + -1(9 + -6x + x2) = 35
4 + 4x + x2 + (9 * -1 + -6x * -1 + x2 * -1) = 35
4 + 4x + x2 + (-9 + 6x + -1x2) = 35

Reorder the terms:
4 + -9 + 4x + 6x + x2 + -1x2 = 35

Combine like terms: 4 + -9 = -5
-5 + 4x + 6x + x2 + -1x2 = 35

Combine like terms: 4x + 6x = 10x
-5 + 10x + x2 + -1x2 = 35

Combine like terms: x2 + -1x2 = 0
-5 + 10x + 0 = 35
-5 + 10x = 35

Solving
-5 + 10x = 35

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 10x = 35 + 5

Combine like terms: -5 + 5 = 0
0 + 10x = 35 + 5
10x = 35 + 5

Combine like terms: 35 + 5 = 40
10x = 40

Divide each side by '10'.
x = 4

Simplifying
x = 4

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