(x-3)(x+3)+10=(x-2)(x-2)+x

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Solution for (x-3)(x+3)+10=(x-2)(x-2)+x equation:


Simplifying
(x + -3)(x + 3) + 10 = (x + -2)(x + -2) + x

Reorder the terms:
(-3 + x)(x + 3) + 10 = (x + -2)(x + -2) + x

Reorder the terms:
(-3 + x)(3 + x) + 10 = (x + -2)(x + -2) + x

Multiply (-3 + x) * (3 + x)
(-3(3 + x) + x(3 + x)) + 10 = (x + -2)(x + -2) + x
((3 * -3 + x * -3) + x(3 + x)) + 10 = (x + -2)(x + -2) + x
((-9 + -3x) + x(3 + x)) + 10 = (x + -2)(x + -2) + x
(-9 + -3x + (3 * x + x * x)) + 10 = (x + -2)(x + -2) + x
(-9 + -3x + (3x + x2)) + 10 = (x + -2)(x + -2) + x

Combine like terms: -3x + 3x = 0
(-9 + 0 + x2) + 10 = (x + -2)(x + -2) + x
(-9 + x2) + 10 = (x + -2)(x + -2) + x

Reorder the terms:
-9 + 10 + x2 = (x + -2)(x + -2) + x

Combine like terms: -9 + 10 = 1
1 + x2 = (x + -2)(x + -2) + x

Reorder the terms:
1 + x2 = (-2 + x)(x + -2) + x

Reorder the terms:
1 + x2 = (-2 + x)(-2 + x) + x

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

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

Reorder the terms:
1 + x2 = 4 + -4x + x + x2

Combine like terms: -4x + x = -3x
1 + x2 = 4 + -3x + x2

Add '-1x2' to each side of the equation.
1 + x2 + -1x2 = 4 + -3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
1 + 0 = 4 + -3x + x2 + -1x2
1 = 4 + -3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
1 = 4 + -3x + 0
1 = 4 + -3x

Solving
1 = 4 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
1 + 3x = 4 + -3x + 3x

Combine like terms: -3x + 3x = 0
1 + 3x = 4 + 0
1 + 3x = 4

Add '-1' to each side of the equation.
1 + -1 + 3x = 4 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 4 + -1
3x = 4 + -1

Combine like terms: 4 + -1 = 3
3x = 3

Divide each side by '3'.
x = 1

Simplifying
x = 1

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