3x+13=x*x-25-(x*x+1)

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Solution for 3x+13=x*x-25-(x*x+1) equation:


Simplifying
3x + 13 = x * x + -25 + -1(x * x + 1)

Reorder the terms:
13 + 3x = x * x + -25 + -1(x * x + 1)

Multiply x * x
13 + 3x = x2 + -25 + -1(x * x + 1)

Multiply x * x
13 + 3x = x2 + -25 + -1(x2 + 1)

Reorder the terms:
13 + 3x = x2 + -25 + -1(1 + x2)
13 + 3x = x2 + -25 + (1 * -1 + x2 * -1)
13 + 3x = x2 + -25 + (-1 + -1x2)

Reorder the terms:
13 + 3x = -25 + -1 + x2 + -1x2

Combine like terms: -25 + -1 = -26
13 + 3x = -26 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
13 + 3x = -26 + 0
13 + 3x = -26

Solving
13 + 3x = -26

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + 3x = -26 + -13

Combine like terms: 13 + -13 = 0
0 + 3x = -26 + -13
3x = -26 + -13

Combine like terms: -26 + -13 = -39
3x = -39

Divide each side by '3'.
x = -13

Simplifying
x = -13

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