4x+(3x-5)(2x-7)=

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Solution for 4x+(3x-5)(2x-7)= equation: 


Simplifying
4x + (3x + -5)(2x + -7) = 0

Reorder the terms:
4x + (-5 + 3x)(2x + -7) = 0

Reorder the terms:
4x + (-5 + 3x)(-7 + 2x) = 0

Multiply (-5 + 3x) * (-7 + 2x)
4x + (-5(-7 + 2x) + 3x * (-7 + 2x)) = 0
4x + ((-7 * -5 + 2x * -5) + 3x * (-7 + 2x)) = 0
4x + ((35 + -10x) + 3x * (-7 + 2x)) = 0
4x + (35 + -10x + (-7 * 3x + 2x * 3x)) = 0
4x + (35 + -10x + (-21x + 6x2)) = 0

Combine like terms: -10x + -21x = -31x
4x + (35 + -31x + 6x2) = 0

Reorder the terms:
35 + 4x + -31x + 6x2 = 0

Combine like terms: 4x + -31x = -27x
35 + -27x + 6x2 = 0

Solving
35 + -27x + 6x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
6 the coefficient of the squared term: 

Divide each side by '6'.
5.833333333 + -4.5x + x2 = 0

Move the constant term to the right:

Add '-5.833333333' to each side of the equation.
5.833333333 + -4.5x + -5.833333333 + x2 = 0 + -5.833333333

Reorder the terms:
5.833333333 + -5.833333333 + -4.5x + x2 = 0 + -5.833333333

Combine like terms: 5.833333333 + -5.833333333 = 0.000000000
0.000000000 + -4.5x + x2 = 0 + -5.833333333
-4.5x + x2 = 0 + -5.833333333

Combine like terms: 0 + -5.833333333 = -5.833333333
-4.5x + x2 = -5.833333333

The x term is -4.5x.  Take half its coefficient (-2.25).
Square it (5.0625) and add it to both sides.

Add '5.0625' to each side of the equation.
-4.5x + 5.0625 + x2 = -5.833333333 + 5.0625

Reorder the terms:
5.0625 + -4.5x + x2 = -5.833333333 + 5.0625

Combine like terms: -5.833333333 + 5.0625 = -0.770833333
5.0625 + -4.5x + x2 = -0.770833333

Factor a perfect square on the left side:
(x + -2.25)(x + -2.25) = -0.770833333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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