5x(x+5)-13x=x^2+12x+81

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Solution for 5x(x+5)-13x=x^2+12x+81 equation: 


Simplifying
5x(x + 5) + -13x = x2 + 12x + 81

Reorder the terms:
5x(5 + x) + -13x = x2 + 12x + 81
(5 * 5x + x * 5x) + -13x = x2 + 12x + 81
(25x + 5x2) + -13x = x2 + 12x + 81

Reorder the terms:
25x + -13x + 5x2 = x2 + 12x + 81

Combine like terms: 25x + -13x = 12x
12x + 5x2 = x2 + 12x + 81

Reorder the terms:
12x + 5x2 = 81 + 12x + x2

Add '-12x' to each side of the equation.
12x + -12x + 5x2 = 81 + 12x + -12x + x2

Combine like terms: 12x + -12x = 0
0 + 5x2 = 81 + 12x + -12x + x2
5x2 = 81 + 12x + -12x + x2

Combine like terms: 12x + -12x = 0
5x2 = 81 + 0 + x2
5x2 = 81 + x2

Solving
5x2 = 81 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
5x2 + -1x2 = 81 + x2 + -1x2

Combine like terms: 5x2 + -1x2 = 4x2
4x2 = 81 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4x2 = 81 + 0
4x2 = 81

Divide each side by '4'.
x2 = 20.25

Simplifying
x2 = 20.25

Take the square root of each side:
x = {-4.5, 4.5}

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