4x(x-7)-5x(x-6)=3

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Solution for 4x(x-7)-5x(x-6)=3 equation: 


Simplifying
4x(x + -7) + -5x(x + -6) = 3

Reorder the terms:
4x(-7 + x) + -5x(x + -6) = 3
(-7 * 4x + x * 4x) + -5x(x + -6) = 3
(-28x + 4x2) + -5x(x + -6) = 3

Reorder the terms:
-28x + 4x2 + -5x(-6 + x) = 3
-28x + 4x2 + (-6 * -5x + x * -5x) = 3
-28x + 4x2 + (30x + -5x2) = 3

Reorder the terms:
-28x + 30x + 4x2 + -5x2 = 3

Combine like terms: -28x + 30x = 2x
2x + 4x2 + -5x2 = 3

Combine like terms: 4x2 + -5x2 = -1x2
2x + -1x2 = 3

Solving
2x + -1x2 = 3

Solving for variable 'x'.

Reorder the terms:
-3 + 2x + -1x2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 2x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
3 + -2x + x2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -2x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + -2x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x + x2 = 0 + -3
-2x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-2x + x2 = -3

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -3 + 1

Reorder the terms:
1 + -2x + x2 = -3 + 1

Combine like terms: -3 + 1 = -2
1 + -2x + x2 = -2

Factor a perfect square on the left side:
(x + -1)(x + -1) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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