(x-3)(x+4)=(2x-29)

Solution for (x-3)(x+4)=(2x-29) equation:

Simplifying
(x + -3)(x + 4) = (2x + -29)

Reorder the terms:
(-3 + x)(x + 4) = (2x + -29)

Reorder the terms:
(-3 + x)(4 + x) = (2x + -29)

Multiply (-3 + x) * (4 + x)
(-3(4 + x) + x(4 + x)) = (2x + -29)
((4 * -3 + x * -3) + x(4 + x)) = (2x + -29)
((-12 + -3x) + x(4 + x)) = (2x + -29)
(-12 + -3x + (4 * x + x * x)) = (2x + -29)
(-12 + -3x + (4x + x2)) = (2x + -29)

Combine like terms: -3x + 4x = 1x
(-12 + 1x + x2) = (2x + -29)

Reorder the terms:
-12 + 1x + x2 = (-29 + 2x)

Remove parenthesis around (-29 + 2x)
-12 + 1x + x2 = -29 + 2x

Solving
-12 + 1x + x2 = -29 + 2x

Solving for variable 'x'.

Reorder the terms:
-12 + 29 + 1x + -2x + x2 = -29 + 2x + 29 + -2x

Combine like terms: -12 + 29 = 17
17 + 1x + -2x + x2 = -29 + 2x + 29 + -2x

Combine like terms: 1x + -2x = -1x
17 + -1x + x2 = -29 + 2x + 29 + -2x

Reorder the terms:
17 + -1x + x2 = -29 + 29 + 2x + -2x

Combine like terms: -29 + 29 = 0
17 + -1x + x2 = 0 + 2x + -2x
17 + -1x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
17 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-17' to each side of the equation.
17 + -1x + -17 + x2 = 0 + -17

Reorder the terms:
17 + -17 + -1x + x2 = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1x + x2 = 0 + -17
-1x + x2 = 0 + -17

Combine like terms: 0 + -17 = -17
-1x + x2 = -17

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -17 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -17 + 0.25

Combine like terms: -17 + 0.25 = -16.75
0.25 + -1x + x2 = -16.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -16.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.