(x+1)2+(x-3)2=15

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Solution for (x+1)2+(x-3)2=15 equation: 


Simplifying
(x + 1) * 2 + (x + -3) * 2 = 15

Reorder the terms:
(1 + x) * 2 + (x + -3) * 2 = 15

Reorder the terms for easier multiplication:
2(1 + x) + (x + -3) * 2 = 15
(1 * 2 + x * 2) + (x + -3) * 2 = 15
(2 + 2x) + (x + -3) * 2 = 15

Reorder the terms:
2 + 2x + (-3 + x) * 2 = 15

Reorder the terms for easier multiplication:
2 + 2x + 2(-3 + x) = 15
2 + 2x + (-3 * 2 + x * 2) = 15
2 + 2x + (-6 + 2x) = 15

Reorder the terms:
2 + -6 + 2x + 2x = 15

Combine like terms: 2 + -6 = -4
-4 + 2x + 2x = 15

Combine like terms: 2x + 2x = 4x
-4 + 4x = 15

Solving
-4 + 4x = 15

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 4x = 15 + 4

Combine like terms: -4 + 4 = 0
0 + 4x = 15 + 4
4x = 15 + 4

Combine like terms: 15 + 4 = 19
4x = 19

Divide each side by '4'.
x = 4.75

Simplifying
x = 4.75

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