7x^2-9x=-4

Solution for 7x^2-9x=-4 equation:

Simplifying
7x2 + -9x = -4

Reorder the terms:
-9x + 7x2 = -4

Solving
-9x + 7x2 = -4

Solving for variable 'x'.

Reorder the terms:
4 + -9x + 7x2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + -9x + 7x2 = 0

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

Divide each side by '7'.
0.5714285714 + -1.285714286x + x2 = 0

Move the constant term to the right:

Add '-0.5714285714' to each side of the equation.
0.5714285714 + -1.285714286x + -0.5714285714 + x2 = 0 + -0.5714285714

Reorder the terms:
0.5714285714 + -0.5714285714 + -1.285714286x + x2 = 0 + -0.5714285714

Combine like terms: 0.5714285714 + -0.5714285714 = 0.0000000000
0.0000000000 + -1.285714286x + x2 = 0 + -0.5714285714
-1.285714286x + x2 = 0 + -0.5714285714

Combine like terms: 0 + -0.5714285714 = -0.5714285714
-1.285714286x + x2 = -0.5714285714

The x term is -1.285714286x.  Take half its coefficient (-0.642857143).
Square it (0.4132653063) and add it to both sides.

Add '0.4132653063' to each side of the equation.
-1.285714286x + 0.4132653063 + x2 = -0.5714285714 + 0.4132653063

Reorder the terms:
0.4132653063 + -1.285714286x + x2 = -0.5714285714 + 0.4132653063

Combine like terms: -0.5714285714 + 0.4132653063 = -0.1581632651
0.4132653063 + -1.285714286x + x2 = -0.1581632651

Factor a perfect square on the left side:
(x + -0.642857143)(x + -0.642857143) = -0.1581632651

Can't calculate square root of the right side.

The solution to this equation could not be determined.