2x(5-7x)=9-(3x-2)

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Solution for 2x(5-7x)=9-(3x-2) equation: 


Simplifying
2x(5 + -7x) = 9 + -1(3x + -2)
(5 * 2x + -7x * 2x) = 9 + -1(3x + -2)
(10x + -14x2) = 9 + -1(3x + -2)

Reorder the terms:
10x + -14x2 = 9 + -1(-2 + 3x)
10x + -14x2 = 9 + (-2 * -1 + 3x * -1)
10x + -14x2 = 9 + (2 + -3x)

Combine like terms: 9 + 2 = 11
10x + -14x2 = 11 + -3x

Solving
10x + -14x2 = 11 + -3x

Solving for variable 'x'.

Reorder the terms:
-11 + 10x + 3x + -14x2 = 11 + -3x + -11 + 3x

Combine like terms: 10x + 3x = 13x
-11 + 13x + -14x2 = 11 + -3x + -11 + 3x

Reorder the terms:
-11 + 13x + -14x2 = 11 + -11 + -3x + 3x

Combine like terms: 11 + -11 = 0
-11 + 13x + -14x2 = 0 + -3x + 3x
-11 + 13x + -14x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
-11 + 13x + -14x2 = 0

Begin completing the square.  Divide all terms by
-14 the coefficient of the squared term: 

Divide each side by '-14'.
0.7857142857 + -0.9285714286x + x2 = 0

Move the constant term to the right:

Add '-0.7857142857' to each side of the equation.
0.7857142857 + -0.9285714286x + -0.7857142857 + x2 = 0 + -0.7857142857

Reorder the terms:
0.7857142857 + -0.7857142857 + -0.9285714286x + x2 = 0 + -0.7857142857

Combine like terms: 0.7857142857 + -0.7857142857 = 0.0000000000
0.0000000000 + -0.9285714286x + x2 = 0 + -0.7857142857
-0.9285714286x + x2 = 0 + -0.7857142857

Combine like terms: 0 + -0.7857142857 = -0.7857142857
-0.9285714286x + x2 = -0.7857142857

The x term is -0.9285714286x.  Take half its coefficient (-0.4642857143).
Square it (0.2155612245) and add it to both sides.

Add '0.2155612245' to each side of the equation.
-0.9285714286x + 0.2155612245 + x2 = -0.7857142857 + 0.2155612245

Reorder the terms:
0.2155612245 + -0.9285714286x + x2 = -0.7857142857 + 0.2155612245

Combine like terms: -0.7857142857 + 0.2155612245 = -0.5701530612
0.2155612245 + -0.9285714286x + x2 = -0.5701530612

Factor a perfect square on the left side:
(x + -0.4642857143)(x + -0.4642857143) = -0.5701530612

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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