x^2-9x+5=x^2-3x-4

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Solution for x^2-9x+5=x^2-3x-4 equation:


Simplifying
x2 + -9x + 5 = x2 + -3x + -4

Reorder the terms:
5 + -9x + x2 = x2 + -3x + -4

Reorder the terms:
5 + -9x + x2 = -4 + -3x + x2

Add '-1x2' to each side of the equation.
5 + -9x + x2 + -1x2 = -4 + -3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
5 + -9x + 0 = -4 + -3x + x2 + -1x2
5 + -9x = -4 + -3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
5 + -9x = -4 + -3x + 0
5 + -9x = -4 + -3x

Solving
5 + -9x = -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.
5 + -9x + 3x = -4 + -3x + 3x

Combine like terms: -9x + 3x = -6x
5 + -6x = -4 + -3x + 3x

Combine like terms: -3x + 3x = 0
5 + -6x = -4 + 0
5 + -6x = -4

Add '-5' to each side of the equation.
5 + -5 + -6x = -4 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = -4 + -5
-6x = -4 + -5

Combine like terms: -4 + -5 = -9
-6x = -9

Divide each side by '-6'.
x = 1.5

Simplifying
x = 1.5

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