(x-3)(x-4)=8-9

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Solution for (x-3)(x-4)=8-9 equation: 


Simplifying
(x + -3)(x + -4) = 8 + -9

Reorder the terms:
(-3 + x)(x + -4) = 8 + -9

Reorder the terms:
(-3 + x)(-4 + x) = 8 + -9

Multiply (-3 + x) * (-4 + x)
(-3(-4 + x) + x(-4 + x)) = 8 + -9
((-4 * -3 + x * -3) + x(-4 + x)) = 8 + -9
((12 + -3x) + x(-4 + x)) = 8 + -9
(12 + -3x + (-4 * x + x * x)) = 8 + -9
(12 + -3x + (-4x + x2)) = 8 + -9

Combine like terms: -3x + -4x = -7x
(12 + -7x + x2) = 8 + -9

Combine like terms: 8 + -9 = -1
12 + -7x + x2 = -1

Solving
12 + -7x + x2 = -1

Solving for variable 'x'.

Reorder the terms:
12 + 1 + -7x + x2 = -1 + 1

Combine like terms: 12 + 1 = 13
13 + -7x + x2 = -1 + 1

Combine like terms: -1 + 1 = 0
13 + -7x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-13' to each side of the equation.
13 + -7x + -13 + x2 = 0 + -13

Reorder the terms:
13 + -13 + -7x + x2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -7x + x2 = 0 + -13
-7x + x2 = 0 + -13

Combine like terms: 0 + -13 = -13
-7x + x2 = -13

The x term is -7x.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7x + 12.25 + x2 = -13 + 12.25

Reorder the terms:
12.25 + -7x + x2 = -13 + 12.25

Combine like terms: -13 + 12.25 = -0.75
12.25 + -7x + x2 = -0.75

Factor a perfect square on the left side:
(x + -3.5)(x + -3.5) = -0.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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