x(x-4)+13=x(x+9)

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Solution for x(x-4)+13=x(x+9) equation:


Simplifying
x(x + -4) + 13 = x(x + 9)

Reorder the terms:
x(-4 + x) + 13 = x(x + 9)
(-4 * x + x * x) + 13 = x(x + 9)
(-4x + x2) + 13 = x(x + 9)

Reorder the terms:
13 + -4x + x2 = x(x + 9)

Reorder the terms:
13 + -4x + x2 = x(9 + x)
13 + -4x + x2 = (9 * x + x * x)
13 + -4x + x2 = (9x + x2)

Add '-1x2' to each side of the equation.
13 + -4x + x2 + -1x2 = 9x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
13 + -4x + 0 = 9x + x2 + -1x2
13 + -4x = 9x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
13 + -4x = 9x + 0
13 + -4x = 9x

Solving
13 + -4x = 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
13 + -4x + -9x = 9x + -9x

Combine like terms: -4x + -9x = -13x
13 + -13x = 9x + -9x

Combine like terms: 9x + -9x = 0
13 + -13x = 0

Add '-13' to each side of the equation.
13 + -13 + -13x = 0 + -13

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

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

Divide each side by '-13'.
x = 1

Simplifying
x = 1

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